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مقارنة بعض طرائق تقدير المعلمات الهيكلية لمنظومة المعادلات الانية الخطية في القياس الاقتصادي مع تطبيق عملي == A Comparison of Some Methods of Estimating The Structural Parameters of The Linear Simultaneous Equations System In Econometrics With A Practical Application

Author name: علاء حسين صبري
Supervisor name: ايمان محمد عبد الله المشهداني
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: في هذا البحث حاولنا تسليط الضوء على البعض من طرائق تقدير المعلمات الهيكلية لمنظومة معادلات انية مقترحة من الباحث والتي تخص العلاقة السببية بين الصادرات والنمو الاقتصادي في العراق، واستنادا على طبيعة البيانات وخصائص المقدرات تم استعمال معيار المفاضلة الحص | In this research we tried to shed light on some of the methods of estimating the structural parameters of simultaneous equations system proposed by the researcher, which was about the causal relationship between exports and economic growth in Iraq , Based on the nature of the data and characteristics of the estimators we used the robust MEDAE to compare between the methods used , which include methods used for the first time in the Arab countries and carried out the first time using real data (to the knowledge of the researcher) , which translated in Jackknife Instrumental Variables Estimation (JIVE) using an instrument that is independent of disturbances even in finite samples.Independence is achieved by using a `leave - one - out' jackknife - type fitted value in place of the usual first stage equation in 2SLS It seems that these methods gives useful alternatives when there is concern to the increase in the degree of over identify for the structural equation under consideration.As well as the researcher used the method of the LIML - LVR which had not previously also be used according to the real data (to the knowledge of the researcher) depending on the general formula K - CLASS

الطرائق المعلمية واللامعلمية لاختبارات عدم تجانس التباين مع تطبيق عملي == Methods Parametric And Nonparametric Tests For Heterogeneity of Variance With Practical Application

Author name: علا هادي صادق الوائلي
Supervisor name: محمود مهدي حسن البياتي
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: تم في هذه الرسالة دراسة بعض من طرائق اختبارات تجانس التباين المعلمية والاختبارات اللامعلمية والمقارنة فيما بينهم في ظل انتهاك واحد او اكثر من الافتراضات الاساسية لتحليل التباين اذ تم استعمال الطرائق المعلمية الخاصة باختبارات تجانس التباين مثل (اختباركوكرا | Been in this Search the study of some of the methods of the homogeneity of variance parametric tests and nonparametric tests as well as the comparison among them under one or more violation of the basic assumptions for analysing the variance, by using the methods of parametric tests which they especialist to the homogeneity of variance such as ( Cochran test , Hartley test, Bartlett test, Levene test, Fisher test) and by using the nonparametric tests which they were expected to be more reliable in the case of one or more violation that related to the special analysis of variance assumptions such as (Ansari - Bradly test, Mood test, Klotz test, test Seigel - Tukey) as the comparison was done among the tests above are based on the possibility of The type I error, as well as relying on standard power of the test. The comparison was made between the estimation methods parametric and nonparametric using simulations and by generating symmetric distributions such as the normal distribution and the uniform distribution and nonsymmetric distributions (twisted) such as the gama distribution. Has been reached in this search that Cochran test may superiority the rest of the tests parametric based on the type I error and power of the test was followed by tests (Hartley test, Bartlett test, Fisher test , Levene test), as for nonparametric tests the Ansari - Bradley test has superiority the rest of the nonparametric tests based on the type I error and power of the test then followed by standard tests (Mood test , Klotz test , seigel - Tukey test). The search also included a practical application of the data taken from the Medical College of Technology of the University of Baghdad for all stages and all sections to calculate body mass (bmi)

تحليل تصميم العبور بفترتين ودراسة التاثير المتبقي == The Analysis of The Two Period Cross - Over Design And Study of The Residual Effect

Author name: عقيل اكرم علي الزبيدي
Supervisor name: لميعة باقر جواد الجواد
Specific topic: Statistics
Degree: Doctorate
Language: Arabic
University location: Baghdad
First pages:
Abstract: في تجارب العبور كل وحدة تجريبية تستقبل اثنين من المعالجات او اكثر خلال الزمن.في ابسط الحالات تستقبل اثنين في المعالجات الوحدة التجريبية تعطي اولا واحدة من المعالجات ثم (تعبر) لتستقبل المعالجة الثانية.تصميم العبور بفترتين كثيرا ما يستخدم في التجارب الطبية | In crossover trials each experimental unit receives two or more treatments through time ; in the simplest case of two treatments , the subject is first given one of the treatments and then crosses over to the other treatment.The tow - period cross - over design is rather often used in medical trials ,especially with chronic diseases or in drug experiments with volunteers.With this design the error variance is reduced by applying both treatments to the same subjects ;and to exclude time (period)effects ,one group of subjects receive the treatments in the sequence AB and the other group receives the treatments in the sequence BA The disadvantage of this design is that in the second period there may be a residual effect of the treatments given in the first period.When the assumption of normal distribution and homogenous of variances are hold the perfect procedure to analysis (TPCOD) is F test and t test but when the assumptions are not hold or the data are pure ordinal like scores , since sums or differences of such data or not reasonable, therefore, A nonparametric model for cross over design is best.We select three experiments to compare between the parametric and nonparametric procedures.we proposal a nonparametric procedure to estimate and test the (TPCOD) that is adopt the nonparametric procedure against the parametric in the case of violation of assumptions

استعمال بعض الاساليب الاحصائية للتنبؤ بانتاج محصول الشلب في العراق للمدة (2025 - 2016) == Some Use Statistical Methods To Predict The Yield of Rice Production In Iraq (2016 - 2025)

Author name: عبير محمود جاسم
Supervisor name: احمد ذياب احمد العزاوي
Specific topic: Statistics
Degree: Higher Diploma
Language: Arabic
University location: Baghdad
First pages:
Abstract: يعد القطاع الزراعي من القطاعات المهمة في عملية البناء الاقتصادي والاجتماعي في بلدان العالم المختلفة وان على الزراعة ان تسد حاجة السكان من الغذاء حتى يتحقق الامن الغذائي.ويعد محصول الشلب من المحاصيل الصيفية المهمة التي تزرع في المناطق المروية من وسط وجنوب | The agricultural sector of the important sectors in the process of economic and social reconstruction in the different countries of the world and on agriculture to meet the needs of the population of food so food security is achieved. The rice crop of the important summer crops grown in irrigated areas of central and southern Iraq, one of the important crops in food intake in Iraq depends upon the Iraqi individual in the food and meals. This research aims to predict the production of rice crop in Iraq for the period (from 2016 to 2025) through the time - series models using the Box and Jenkins models, which requires diagnosing the appropriate model and appropriate grade for this model to represent the phenomenon studied and based on annual data for the period analyzed (from 1975 to 2015), which was obtained from the Central Bureau of Statistics. After analyzing the data using statistical software gretl and address some of the problems that could have exposed the data and obtain the appropriate models to represent the production of rice, and in the model of the time series were tested stability of the chain in terms of both the contrast and the Mediterranean have shown results of the analysis after the trade - offs between Box and Jenkins models for series production of rice the adoption of standard Akaike Information Criterion (AIC) and the standard Schwartz Bayesian Criterion (SBC) and standard Hannan - Quinn (H - Q) to be after that model representative for the production of rice crop in Iraq is ARIMA (2,1,2) and test the independence of the wrong paradigm and then predict for the years (2016 - 2025).

تشخيص وفحص مدى الملاءمة لنماذج السلاسل الزمنية المختلطة ذات الرتب الدنيا == Identification And Diagnostic Checking For Low Order Mixed Models

Author name: عبيد محمود محسن الزوبعي
Supervisor name: عبد المجيد حمزة الناصر
Specific topic: Statistics
Degree: Doctorate
Language: Arabic
University location: Baghdad
First pages:
Abstract: تمثل الهدف ببحث مرحلتي التشخيص Identification وفحص مدى الملاءمة Diagnostic checking للنماذج المختلطة ARMA ذات الرتب الدنيا في مجال الزمن Time Domain وفي مجال التكرار Frequency Domain والمقارنة بين ادوات التشخيص ومعايير اختيار الرتبة واختبارات فحص مدى المل | The aim of this work is to study the two stages of identification and diagnostic checking of mixed models (ARMA) with low orders of time domain and frequency domain.The methodology of research had tackled in balanced way both the theoretical part (by using statistical theory) and experimental part (by using simulation). The thesis consisted of five chapters in addition to introduction. The first chapter contained the basic concepts of time series, stationary, mixed models with low orders and analysis tools for time domain and frequency domain.The second chapter included the identification stage as it contained the identification tools and selection criteria for models order.Also it included asggestion for two new methods of identification and anew criterion for order determination. The third chapter tackled the diagnostic checking by using a group of tests depending on time domain and frequency domain.Also it included viewing of some other aspects in time series analysis in order to open new avenues which could be traded by other researchers.The fourth chapter contained the experimental part by applying what had been depicted in previous chapters on mixed models (ARMA(1,1)), (ARMA(1,0)) and (ARMA(0,1)) and then to find out comparisions between identification tools, order selection criteria and diagnostic checking tests through giving different values of the parameters [?1,?1] and for different sizes of series and by iterating the experiments (1000) times.It had been arrived at some conclusions and recommendations which were consisting the fifth chapter

المويجات الهندسية المكيفة وتطبيقاتها في ازالة التشويش للصور الرقمية == Adaptive Geometrical Wavelets And Their Applications In Digital Image De - Noising

Author name: عامر محمد نوري المهداوي
Supervisor name: ظافر حسين رشيد النجار
Specific topic: Statistics
Degree: Doctorate
Language: Arabic
University location: Baghdad
First pages:
Abstract: تختلف الاهمية النسبية للمعلومات المرئية المحتواة في الصور. اذ ان البحوث الحديثة في فسلجة الرؤية اثبتت بان الدماغ البشري يتحسس لحواف مكونات الصورة بالدرجة الاولى، اما الانسجة فتاتي بالدرجة الثانية من الاهمية. دفع هذا الامر العديد من الباحثين في حقل المعالج | The importance of visual information contains in images are relatively deferent. Recent researches in psychology of vision have proven that human brain senses the edges of image objects in the first order, where image textures comes in the second order of importance. This problem had motivated researchers in the field of image processing towards finding new efficient methods that work on eliminating less important visual information which gives as a result a brief description containing the most important information. This description serves two domains : the first one is image compression, where it is possible to reduce the amount of data used in representation, which helps in reducing the required transmission time and also needs less storage size. The second one is image denoising, by reducing the importance of noisy data which helps in eliminating the noise, or at least compress its effect.Recently, it has become evident that separable transforms, such as wavelets, are not necessarily best suited for image representation due to their disability of catching line discontinuities that represent the objects edges, which make them unsuitable in giving adequate description for deferent geometrical shapes of these edges. This led to the appearance of the geometrical wavelets which has been proven its superior to nearly all of the classical wavelets in giving higher specific approximations and much more economical in data size of the image. These functions are non - separable and they are divided into two parts : adaptive functions and non - adaptive functions.This dissertation focuses on studying the first and most important function of the family of adaptive geometrical wavelets functions, the one called wedgelets, in addition to propose generalizations to it in order to make it more flexible in catching deferent curved shapes of image edges, which improves its performance in providing much more specific approximations depending on less number of coefficients. This work emphasizes basically in image denoising. And in order to increase the applicable importance of these functions, it has been suggested two methods to estimate the noise level that effects the image, and eventually choosing the best approximation according to this estimation.Finally, a comparison is made between the proposed approximation methods and the classical ones by applying on several tested images that have deferent properties, through the simulation of exposing them with deferent levels of noise. The results of this comparison shows good size of improvement in the performance achieved by the addition of these proposed functions.

استخدام مرشح الموجة الصغيرة المتقطعة في تحليل السلسلة الزمنية AR (1) ومقارنته مع مرشحات اخرى == Using Discrete Wavelets Filter In Analysis of Time Series AR(1) And Comparison With Other Filters

Author name: طه حسين علي الزبيدي
Supervisor name: عبد المجيد حمزة الناصر
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: تم في هذه الاطروحة معالجة مشكلة الضوضاء (او التلوث) الذي يمكن ان تتعرض له مشاهدات السلسلة الزمنية باستخدام مرشحات الموجة الصغيرة والاعتماد على تحليل المعلومات من خلال التردد فضلا عن الزمن مقارنة مع تحليل فورير الذي يحلل المعلومات عن طريق التردد فقط مهم | This Thesis deals with the problem of Noise (or Contamination) which may encounter the time series data using Wavelet Filters and depending on the information analysis through the frequency in addition to the time compared to Fourier Analysis which analyze the information through the frequency only omitting the time factor, this was performed through the use of Discrete Wavelet Transformation as a filter to clean the data from the contamination or the noise factors by direct or with some kinds Thresholding , and then Estimate the First - order Autoregressive Model for the filtered time series observations and compare the results with what results from the use of time series observations that are contaminated and filtered by using Wiener and Kalman filters depending on some statistical Criterias, which are The Mean Square Prediction Error, Final Prediction Error, and The Mean Absolute Prediction Error.This study presents the suggested method as well, that depends on the Wavelet as Input for The Artificial Neural Network, and then use the outputs of this Network to Estimate The First - order Autoregressive Model to the time series observations that are filtered, and compare the results with the Classical Method - Neural Network, Haar Wavelet, and Daubechies Filters of the directs from second order and which used with Soft, Mid, and Hard Thresholding by depending on the statistical Criterias given before through using the simulation experiments in addition to use real data represents time series observations of sunspots, and in order to perform this analysis the researcher designed the required computer codes by using MATLAB Language.

مقارنة بعض الطرائق الحصينة في تحليل الارتباط القويم الخطي باستخدام المحاكاة مع تطبيق عملي == Comparison of Some Robust Methods In Linear Canonical Correlation Analysis of Simulation Used With Practical Application

Author name: طارق عزيز صالح
Supervisor name: لقاء علي محمد العلوي
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: تبرز اهمية الحاجة الى طرائق تقدير كفء والتي تسمى بالطرائق الحصينة (Robust Methods) عندما تكون بيانات الظاهرة المدروسة ملوثة، او وجود شواذ في المشاهدات، والتي ينتج بسببها مقدرات تؤدي الى زيادة او نقصان في متوسط مربعات الخطا (MSE) مما يؤدي الى استدلال احص | The important of the necessity to my efficient estimation methods, which are called the robust methods, appears when the data of the studied phenomenon are contaminated, it means the observations contains outliers,which may produce estimators which result in increasing (decreasing) in the (MSE), That would leads to an inaccurate statistical inference. From this point was the good behind this research in reaching robust estimators of canonical correlation analysis that can be achieved through the study of some robust methods such as (estimators - M, estimators - MVE, estimators - MCD and estimators - S).for the failure of the classical methods of estimation of canonical correlation analysis at containing data on the ratio contamination (outliers), that leads to the derivation of incorrect covariance matrix consequently to correlation matrix and a series of relations between the incorrect variables. Therefore the robust methods were used in the calculate of covariance matrix which would lead to robust matrices to robust canonical correlation analysis.In order to achieve the objectives of the research, it was divided into four chapters.The first chapter included the introduction, purpose of search and review of literature, the second chapter tackled the theoretical aspect of the robust methods in canonical correlation analysis as well as some of the important concepts, the third chapters deals with the application aspect in which tow types of applied studies were made, The first one uses the simulation method to compare among the studied methods of estimation in canonical correlation analysis and detect the best of the estimator depending on the two statistical measurements bias mean and mean square error which renders the minimum MSE of canonical correlation analysis, the second study uses the truthful data to verity the performance in a practical actuality.Finally, the fourth chapter included the conclusion, recommendations to which the researcher has arrived. In general it is regarded that MCD estimator is the best in the estimation of canonical correlation analysis in comparison with the other studied methods of estimation.

مقارنة بعض طرائق تقدير المعلمة والمعولية لانموذج ريلي للفشل لبيانات تامة وبيانات تحت المراقبة من النوع الاول باستخدام المحاكاة == A Comparison of Some Estimation Methods of Parameter And Reliability of Rayleigh Failure Model For A Complete Data And Type One Censored Data By Using Simulation

Author name: صبا صباح احمد الجميلي
Supervisor name: عبد المجيد حمزة الناصر
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: تعرض الكثير من الباحثين الى انموذج ويبل للفشل (Weibull Failure Model) وتطبيقاته المختلفة كونه احد نماذج الفشل الشائعة الى جانب اهميته في حقل المعولية واختبارات الحياة. فـي هـذا البحث تـم تقديـر معلمــة القياس ودالـة المعوليـة لانموذج ريلـي للفشـل (Rayle | Weibull Failure Model and its different applications have been studied by many researchers, since it is one of the well known failure models in addition to its importance in the reliability field and life tests.This research estimated the scale parameter and reliability function for Rayleigh Failure Model, which is one of the well known failure model in the reliability field and life tests and the signal analysis.The research focused on the comparison between some of the well known estimation methods (classical and Bayesian) for the scale parameter and reliability function of this model by using the Maximum likelihood, Moments, White and Standard Bayes estimation methods.The methodology of the research depends on theoretical study, the methods of classical and Bayesian estimation has been determined elaborately to arrive to the estimations forms of reliability.Also this research depends on an experimental study by designing number of simulation experiments using various values of parameters and sample sizes, this experiment replicated to get high homogeny for the comparison among the estimation methods.Two kinds of data are used in the research : 1 - Complete Data.2 - Time - Censored Data. The researcher suggested two Bayesian methods for estimation in case of complete data; the first is a loss function obtained by compressing the well known square loss function which called it (The Compressed Bayes Method), and the second is a prior function which is called (The Developed Bayes Method). The comparison between the two proposed methods is done to show the effect of Bayesian estimator, then a comparison done between the best proposed methods with the best well known methods to show which estimator is the more accurate to be used for estimation the scale parameter and reliability function for Rayleigh failure model.The results of these experiments show that White method is the best from the other methods which are used in this research in estimating the scale parameter and reliability function, and the results show that the proposed Compressed Bayes method is better than the Standard Bayes and the Maximum Likelihood methods, while the proposed Developed Bayes method verified that it is better than the Moment method in estimating the scale parameter and the reliability function; and better than the Maximum Likelihood estimation method in estimating the reliability function, and using any of the proposed methods (Compressed Bayes, Developed Bayes) is better than the Standard Bayes method. In case of censored data the simulation experiments proved that the Maximum Likelihood estimation method is better than the Standard Bayes estimation method. A comparison of preference estimation methods is done by using the two standards; Mean Square Error (MSE) and Mean Absolute Percentage Error (MAPE).

استعمال بعض نماذج السلاسل الزمنية للتنبؤ باعداد التلاميذ المقبولين في الصف الاول الابتدائي في العراق للفترة (1969 - 2012) == Use Some Time - Series Models To Predict The Numbers of Pupils Admitted To The First - Grader In Iraq For The Period (1969 - 2012)

Author name: شيماء ابراهيم خليل
Supervisor name: هاني عبد الله حسن
Specific topic: Statistics
Degree: Higher Diploma
Language: Arabic
University location: Baghdad
First pages:
Abstract: يعد التنبؤ بالسلوك المستقبلي للسلاسل الزمنية من الموضوعات الهامة في العلوم الاحصائية ولذلك فان التنبؤ بعدد التلاميذ المقبولين في الصف الاول الابتدائي في العراق يحتل مكانة هامة باعتبار الاتاحة الشاملة للتعليم الابتدائي لاطفال العالم تعد واحدة من الاهداف ال | The prediction of future behavior of the time series of important topics in science statistical therefore predict the number of students admitted to the first grade in Iraq occupies an important position as universal access to primary education for the children of the world is one of the Millennium Development Goals (MDG'S) and goals of " A World Fit Children's " (WFFC).Data were collected for research, which represents the number of students admitted to the first - grader in Iraq for the period (1969 - 2012) of the Ministry of Planning and Development Cooperation - Central Bureau of Statistics has been introduced into the statistical program spss version 18.In this research was the comparison between the two methods to predict which way each of the Box and Jenkins methods Exponential Smoothing to know the best way to predict based on the criteria (MAPE and BIC) where the method has proved its superiority to Exponential Smoothing way box - Jenkins

مقدرات الامكان الاعظم الموزونة الحصينة ومقارنتها مع طرائق اخرى لانموذج اللوجستك مع تطبيق عملي == Robust Weighted Maximum Likelihood Estimates And Their Comparsion With Other Methods of Logistic Model With Practical Application

Author name: شرين علي حسين
Supervisor name: نزار مصطفى جواد الصراف
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: ان معظم الدراسات في موضوع انموذج انحدار اللوجستك تاخذ طابعا اكثر تقدما في عملية التحليل الاحصائي الدقيق الذي يهدف الى الحصول على مقدرات ذات مستوى عال من الكفاءة. وتاتي اهمية الحاجة الى تطبيق الطرائق الحصينة عندما تكون بيانات الظاهرة المدروسة ملوثة , | In most of studies about the logistic regression model take in it's nature more progness in the procedure of acurate statistical analysis which aim getting estimators of a high level of efficiency , and importance of it's necessity to applicate of the robust methods, appears when the data of the studied phenomenon are contaminated , it means some of the observations vareit clearly from other observations called outliers which may produce estimators untrustworthy and so the decision will be false about the problem that we are trying to study it.From this point was the goal of this research in reaching robust estimators to estimate parameters of binary response logistic regression model through study some of theis estimators (method (WMLE) , method( M ) and method (Lp) ) and that by supposing three levels of contamination (0%,10%,30%). Also we use simulation in this study to compete between methods of studied estimator for all levels of the contaminated studies.In this thesis the researcher concluded the success of the method (WMLE (w1)) in estimate parameters of binary response logistic regression model, in comparsion with studied estimate methods by depending on statistical measures : Bias, Mean Square Error for parameters and model.Also the researcher specified a chapter for applying and using method WMLE (w1) on real data of angina pectoris patients which taking from Ibn - al - Nafees hospital for the purpose of estimate parameters of binary logistic regression model.

استعمال المجموعات الضبابية ونماذج بوكس جينكنز في السلاسل الزمنية للتنبؤ ببعض نسب التلوث في مياه الشرب لمدينة بغداد == Using The Fuzzy Sets And Box - Jenkins Models In Time Series To Prediction Some Rates of Pollution In Baghdad City

Author name: سيف عدنان سلمان
Supervisor name: احلام احمد جمعة
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: There are many statistical methods used in time series analysis and that of the most famous of these methods Box - Jenkins models, which include a number of stages needed to reach the best model is used to predict the process, and that this method requires the availability of a number of conditions required in the process of building the model and assumptions about the nature of the time series being linear, a natural or stationary , and with the growing interest in the topic of time - series modern methods used in time series analysis and foremost of which is the use of Fuzzy logic and Fuzzy sets in the time series as one of the most modern methods to predict is the most important alternatives to traditional statistical methods have emerged they possess the ability to in finding solutions to various areas and it does not require the availability of the conditions due to the use of traditional models which are difficult achieved in most cases. Then in this paper the use of the two methods in the time series, , (Box Jenkins models, and Fuzzy time series) in the forecasting process as each method include special stages are different from the other, through the study of the monthly chemical tests for solids dissolved rate data behavior and examine the turbidity of the water drinking in the city of Baghdad for the period (January 2004) and up (December, 2013) and a better model to predict through the application and the comparison of the results in these ways by using a number of statistical standards and ones (MSE) and (MAPE)

توظيف الخوارزمية الوراثية في انشاء تصاميم القطاعات غير الكاملة المتزنة == Construction of Balanced Incomplete Blocks Design (B.I.B.D.) By Using Genetic Algorithms (G.A.)

Author name: سهام دنخا خوشابا
Supervisor name: كمال علوان خلف المشهداني
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: Some times we faced problem that either the number of treatments used in an experiment more than the number of experimental units inside the particular block or the blocks size large than the number of replicated of treatments, then we have to use incomplete blocks design (I.B.D.); in this design either the treatment appear in block or not; that means the treatment may appear or not in a block, also when the treatments appear in a pair of treatments, this design called balanced incomplete block design (B.I.B.D.). This case makes the B.I.B.D. important by using the randomization to distribute the treatments inside the blocks and create Incidence Matrix, where its elements either zero when the treatment not appears or one when the treatment appears. This kind of design is important in many fields of study especially in the agriculture and in the veterinary medicine …etc. The aims of the previous studies was to find the way for construction of B.I.B.D..Till now the studies keep going to find out the new ways or methods for construction.The aim of this study is to find out a new way for construction. A new way for construction the incident matrix by using steps for building “Genetic Algorithms”, is discussed Genetic Algorithms are theoretically and empirically proven to provide a robust search in a complex spaces.

مقارنة بعض اختبارات ملاءمة نماذج السلاسل الزمنية ذات الرتب الدنيا باستخدام المحاكاة == Comparison of Some Diagnostic Checking Tests For Time Series Models With Low Order By Using Simulation

Author name: سهاد احمد احمد
Supervisor name: احلام احمد جمعة
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: ان دراسة السلسلة الزمنية تتطلب دقة في وصف ملامح الظاهرة (العملية) التي تتولد منها، سواء من حيث تفسير طبيعة تلك الظاهرة وسلوكها واستخدام النتائج للتنبوء بسلوكها في المستقبل اخذين بنظرالعناية التحقق عما يمكن حدوثه عند تغيير بعض معلمات الانموذج. ويمكن استخ | Studying time series requires an accurate description for the features of phenomena (procedure) that generates time series according to its nature and behavior interpretation. After that, we can use these results for forecasting to the future taking under consideration : examine to what would happen after changing some of the model parameters, use the standard (depended) methods for testing the accuracy of the identified model which has ability for taking errors in the procedure, and provide balancing condition between model diagnosing and simplicity as well as. This research aims to use some of tests concern with diagnosing of the identified model, and make comparisons among these tests meanwhile. The researcher took some of tests, especially, the modern ones, represented by Dm test which depends on partial autocorrelation function, and which depends on autocorrelation function. We use ARMA models with lower order : [AR (1), MA (1), ARMA (1,1)] that Gaussian distribution. Furthermore, we use the tests concern with linear hypothesis diagnosing for the previous three models, represented by squaring the model errors. We use also, the modified tests in this field. In addition, we use some of nonlinear models, as "Threshold" model, and taking self - exciting threshold autoregressive (SETAR) as a special case. The analysis of time series considered time range under model stationary. Methodology of the research depends on both the theoretical part (Statistical theory usage), and the empirical part (Simulation). The structure of the research has mainly based on four chapters as follow : chapter ONE, consists an introduction, the goal of the research and the historical literature. While chapter TWO, covers the statistical methods that take part describing and modeling the time series, as well as explain the main concepts of time series such as "Stationary". We show also, the "mixed" model with lower order, crossing to examining the diagnosing through some of the standard and modern tests which depends on autocorrelation and partial autocorrelation functions of the standardized residual series that obtained from the original series of the model, by testing the randomization of the model errors and make checking for its convenience and accuracy. Furthermore, we use the modified tests : ( , , )and (Kwan & Sim) test represented by ( , , ) to determine the linear hypothesis diagnosing by compute the standardized residual series squares of the error in the previous three models that mentioned above. We use nonlinear model (SETAR) as well as. Chapter THREE, devoted for the empirical part which contains illustrations to all of what mentioned in chapter two. The researcher has designed some of experiments for purpose of comparing the (standard, modern and modified) tests through computing (P - value) for each model at (0.01) significant level at many simulated parameters, with different sample sizes, and for a number of periods of lags at each sample size, by replicating the experiment (1000) times. Finally, chapter FOUR comprises the conclusions and suggestions that the researcher had recommended

استعمال اشجار الانحدار التصنيفية والانحدار اللوجستي في تقدير انموذج تجميعي والمقارنة بينهما مع تطبيق عملي == Using Classification Regression Trees And Logistic Regression To Estimate Additive Model Comparison With Application

Author name: سهاد احمد احمد
Supervisor name: عمر عبد المحسن علي القيسي
Specific topic: Statistics
Degree: Doctorate
Language: Arabic
University location: Baghdad
First pages:
Abstract: تعاني بعض الظواهر من وجود حالة اضطراب في بياناتها بالاضافة الى صعوبة صياغتها وخصوصا مع وجود عدم وضوح في استجابتها، او لكثرة الاختلافات الجوهرية التي تعتري الوحدات التجريبية التي تم اخذ هذه البيانات منها. فعندما تزداد المجاميع لمجتمع ما, لا يمكن اعتبار ذل | Often suffer phenomena and there is disturbances in their data as well as the difficulty of formulation, especially with a lack of clarity in the response, or the large number of essential differences plaguing the experimental units that have been taking this data from them. When growing groups of a population, it can't be regarded as a homogeneous population is increasing because the dispersion between the experimental units in response to that population as well as the error will also be increasingly difficult to build a model of that population.So there was a need to include an estimation method on the classification or underlying discrimination for these pilot units using discrimination or create segments for each item of these pilot units in the hope of controlling their responses and make it more in line style.Has been resorting to the use of the method of a modern and flexible classification is based on the neighborhoods between the views represented by the response variable by classification regression trees : CART. It was the use bayesian approach and the promise of features indicative of regression analysis model classification tree to take advantage of the above information by, and collect trees for explanatory variables are all together and at every stage fork on the other hand, represented the bayesian classification regression trees : BART.In view of the development in the field of computers and taking the principle of the integration of science it has been found that modern algorithms used in the field of Computer Science swarm of birds and other originally illustrated algorithm for the purposes of technology pertaining to distinguish between images or vibrational radio, etc., can be harnessed to serve the knowledge of statistics, which is based Turn on the information production and to achieve success in it. So is the use of genetic algorithm and submit a proposal by modified genetic algorithm, in addition to C4.5 and ID3 algorithms. And without losing the generality has been used as a tool of logistic analysis as important tool.It was a whole performance along with an estimate of the general additive model method of classification of all the methods mentioned in the above. Fitted model as modern and flexible overcomes curse of dimensionality that may occur most modern phenomena of the times when their data analysis.It was the use of simulated samples of different sizes (200, 400, 600) with (1000) replicates. The application was performed on patients with diabetes data for those aged (15) years and below are taken from the sample size (200) was withdrawn from the children hospital/ Al - Eskan/ Baghdad.As proof of the goodness of classification has been using the misclassification error, and as proof of the goodness of estimation has been using the root mean squares error.Was reached important conclusions through a process of differentiation among the six methods above, the superiority of the Classification and Regression Trees Algorithm (CART) is the best in terms of the results that has been reached in empirical side, when proposed Genetic Algorithm is the best in terms of the results that has been reached in applied side.

دراسة احصائية لوفيات الاطفال الرضع لمحافظة نينوى للفترة 1987 - 2004

Author name: سما سعدي علي الهاشمي
Supervisor name: عبد الحسين زيني
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: يعد الاحصاء السكاني ( الديموغرافي ) من العلوم المهمة في الوقت الحاضر، فهو الدراسة الاحصائية للسكان وخصائصهم وفعالياتهم وتغييراتهم من حيث التكاثر والوفاة والانتقال والعوامل التي تؤثر فيها والنتائج التي تنشا عنها. من اهم التغيرات التي تحدث على السكان ه

اشتراك توزيعي ويبل وتكوين توزيع الباي ويبل == The Participation of Two Weibull Distributions And The Formation of Bi - Weibull Distribution

Author name: سلام جاسم محمد الساعدي
Supervisor name: علي عبد الحسين صالح الوكيل
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: ان الاهتمام الواسع والمتزايد بدراسة موضوع المعولية باعتباره علما يتعامل مع اعمار المعدات ولاسيما احتمالات البقاء ومتوسط الحياة وهذا يعود بالاساس الى التطور التكنولوجي السريع واستخدام الانظمة الالكترونية المعقدة في مختلف المجالات. وعلى هذا الاساس فان در | The wide increasing concern of studying the topic of reliability as a science dealing with equipment ages, especially the survival and life average probabilities rendered to the fast technological development and the utility of complicated electronic systems in various fields. On that basis, the studying the topic of reliability and the connection between the theoretical and applied sides together have a great importance because they are considered the indicator towards stating the extent of efficiency and capacity of the machine and the work system without damages for a long period of time, accordingly, the study of (Weibull Distribution) is a sample of failure functions because this distribution is suitable when failure rates are high relatively at the operating start, then these rates decrease gradually with time increase. Accordingly, the thesis includes mainly a display of a new sample of joint distributions which is known as (Bi - Weibull). This kind of distribution gives more elasticity and more accurate results.Hence, the basic statistical measures and the parameter estimation of (4 - Parameter Bi - Weibull Distribution) were found through (MLE) by using the simulation method (Inverse Formula). In order to reach the research aim, the research is divided into five chapters. Chapter one deals with the topic general backgrounds and function definition including the reliability function. Whereas chapter two is dedicated to expose the methods of estimating the parameters of the (2 - Parameter Weibull Distribution) with displaying the basic statistical measures of (2 and 3 - Parameter Weibull Distributions). As to chapter three, it includes the theoretical side of (Bi - Weibull Distribution) with the exposure of the following three states of this distribution : - (4 - Parameter Bi - Weibull Distribution) - (5 - Parameter Bi - Weibull Distribution) - (6 - Parameter Bi - Weibull Distribution) with their basic statistical measures.Chapter four manifests the research programs and simulation results as well as result analysis. Chapter five includes the conclusions and recommendations the researcher has arrived at

مقارنة بعض طرائق تقدير المعلمة التمهيدية لدوال اللب متعدد المتغيرات وتوظيفها في الدوال التمييزية مع تطبيق عملي == Comparison of Some Smoothing of Estimate Methods For Multivariate Kernel Functions And Employs Them In Discriminants Functions With Practical Application

Author name: سكينة شامل جاسم
Supervisor name: لقاء علي محمد العلوي
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: ان التحليل التمييزي (Discriminant Analysis ) غالبا ما يعاني من مشكلة صغر حجم العينة ( SSS ) Small Simple Size خاصة عندما يتم تطبيقها لتصنيف انماط عالية الابعاد مثل (التعرف على الوجه، حركة اليد وحركة الجينات الوراثية و...)، او عندما تكون البيانات لديها | The linear discriminant analysis often suffer from small sample size (sss) problem.especially when they are applied for the classification of high_dimenssional patterns. Such as (face recognition) or when data is distributed normal distribution but when they are non _ linear and has spread widely. We are dealing with this problem by using a technique of kernel discriminant analysis. because this technique depends on the kernel density estimation which belong to the class of estimates. it is commonly perform Avery important technique for visualizing data distribution and smoothing. It is unimportant to procedure in the explanatory data analysis, as that used in kernel discriminate analysis well known by researchers. To identify statistical. patterns. it is also known that these estimates are. Based mainly on the choice of bandwidth parameter end controlled on smoothing of estimation and to choice kernel function. has been the use of carton methods to estimate band width parameter it is : plugin methad Least square Cross validation method Smoothed Cross validation method Are selected as a parameter of bandwidth and use in kernel density estimation (KDE( and then employ them in kernel discriminant analysis (KDA) approach. Through the joint base for groups is a kernel discriminant rule (KDR) which rely heavily on density classified (f ?_j) and probability of prior (? ?_j).therefore the problem of multiple class(The use of several variables) will be more important and visible to be parameter of bandwidth is different when compared with various densities classified. Finally, it was real data from the general blood cancer disease and style simulation application, as it was reached that way (KDA - SCV) is best when using the above standard compared with other methods because it gave the misclassification rate least.in the practical side results showed in such a way that nine people were the first (n1... n9) of the first group are infected with disease among 50 people is infected and 12 people from the second group infected with the Lisu people living with and they (n45... n50 and n1... n6 ).

مقارنة بعض الطرائق اللبية في تقدير نماذج الانحدار اللامعلمي بوجود بيانات تامة وغير تامة == A Comparison of Some Estimation Methods For Kernel Models In Complete And Incomplete Data

Author name: سعد كاظم حمزة
Supervisor name: ظافر حسين رشيد النجار | مناف يوسف
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: ان استخدام النماذج المعلمية يتطلب العديد من الشروط الاولية التي يجب توافرها لكي تكون قراءة هذه النماذج قراءة صحيحة كما تتطلب وجود بيانات من النوع الكمي الامر الذي دفع الباحثون الى البحث عن نماذج اقل صرامة من النماذج المعلمية وتمثلت هذه النماذج بالنماذج ال | Using of parametric models require a number of preliminary conditions that should be available to make the reading of these models right as well as the presence of quantitative data which motivated the researchers to search for models with lesser terms than the parametric models represented by nonparametric models. One of nonparametric methods important for estimating nonparametric regression function known as (kernel estimation) to be used for estimating any statistical function which is (smooth estimator) free of disorders modifying the observations and approximating estimated regression function to real nonparametric regression function. Hence, the researcher showed some kernel methods to estimate the nonparametric regression function in both cases complete data (FNW, FLLS, VNW, VLLS) and incomplete data (FSNW, VSNW, FINW, VINW, FSLLS, VSLLS, FILLS, VILLS) and compared them through the simulation method as well as using different models and different sizes of samples and variants. From noticing the simulation results, it was shown that the best smoother was (FLLS) by using the first model, while by using the second model, it was shown that the best smoother was (VLLS) and in the third model was (VNW). In case of incomplete data, the best smoother was (VSLLS) by using the first and second models while by using the third model, the best smoother was (VSNW)

بعض المقدرات الحصينة لقدرة الطيف وفق الانموذج المختلط ARMA مع تطبيق عملي == Some Robust Estimators For Power Spectrum According To The Arma Models With Application

Author name: سحر طارق محمود الرحيم
Supervisor name: عبد المجيد حمزة الناصر
Specific topic: Statistics
Degree: Doctorate
Language: Arabic
University location: Baghdad
First pages:
Abstract: تهدف الاطروحة ايجاد افضل مقدر(التقدير الامثل) لدرجة ارتداد الانموذج المختلط ARMA ذي الدرجات المتدنية لقدرة الطيف Power Spectrum والحصول على امثلية التنبؤ، اذ ان مشكلة الاطروحة تكمن في خطا اعتماد اساليب تقدير درجة الارتداد قبل اطفاء اثر الشواذ التجميعية ( | The Aim of The thesis is finding the best estimator (optimal estimate) the degree of rebound mixed model ARMA with low scores to Power Spectrum and get optimizing forecasting, As the problem of the thesis lies the mistake of adopting methods of estimating rebound degree before extinguishing (AO) Outliers (additives Values) in an estimate operation based on data series without getting rid of the effect of the presence of Outliers. According to This thesis addressing the Existence of the Outliers, in particular, (AO) Outliers after addressing the existence of Outliers, then starting estimate the optimization for a rebound.When interest in Robust estimates we must identify the time series contaminated Outliers with a certain probability models is defined due to lack of stability in addition to the difficulty of knowing specimen probabilistic it appears at first paragraph leap suddenly are called stereotypes Bahawaz Innovation Outlier, late to be the behavior of independent gay behavior values the other called Bahawaz aggregate Additive Outliers.When interest in estimates fortified must identify the time series contaminated Outliers with a certain probability models Unlimited Parameters is defined due to lack of Stationarity in addition to the difficulty of knowing probabilistic model ,it appears at first paragraph sudden leap are called Innovation Outlier, or be an independent behavior of other values called Additive Outliers.Shows the experimental side of the Thiess through a standard MSE, MAPE preference of Robust method on the Unrobes for all sample sizes and for all primary parameters assumed values, as well as for all default frequencies values (Wi), have an adverse impact in terms of efficiency when models ARMA (0,1), ARMA ( 0.2), and very slight variation when the model ARMA (1,1) the impact of outliers and the supposed frequencies (w) = [1/4, 1 / 3.3, 1 / 2.5, ½] small.The nature of the electrical signal surveyed of heart (ECG - Electrocardiogram) a vital signal , unstable and the form of Signal spectrum reflects the Performance of the human heart muscle and its health.is random changes sharp and irregular in time series represents the work of the heart of a natural person (without straining) include what is known Outliers caused by its actual nature not the result of errors in the measurement or the register, which makes them do not follow a particular distribution, led to the difficulty of conducting Assessments for Power spectrum according to the traditional methods of estimation that assumes distributed statistically,In addition to that the data generation processes require the availability of basic assumptions is inconsistent with the nature of the Heart signal ECG, and to minimize or reduce these assumptions adopted by the simulation approach often leads to unrealistic and far from the real system results and establishes a breakthrough for good properties of these estimates that we have made it necessary to adopt the idea of Robust estimates (M - estimate) in accordance with the Robust functions (Huber, Hample, Tukey, Andrew) in addition to the method of maximum likelihood Mle according to restricted simulations in the practical side, which serves as a purification process or soften the Estimators resulting from follow of statistical estimation methods on real data to determine the best estimators of Power spectrum and the search for the best Model and section distribution , and then apply the result of a trade - offs in according to indicator the indirect transition of the speed of the signal (?/S2) between the Estimation functions and Distributions on eight of combinations of Mixed model ARMA (p, q) and estimating MSE, RMSE and selecting the optimum combination which is ARMA (2,2) with Extreem value distribution and with Hampel function at section 200, which amounted to (MSE = 0.000109).

الاتساق الذاتي وتحليل المكونات الرئيسة == The Self - Consistency And Principal Component'S Analysis

Author name: سحر طارق محمود الرحيم
Supervisor name: رفعت لازم مشعل الخميسي
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: تعني عبارة " الاتساق - الذاتي " اختبارا لمحور المكونات الرئيسة عندما يرتكز التوزيع على المحور الذي يعطي تقريبا بسيطا للتوزيع الاصلي متعدد المتغيرات.جرت عملية الاختبار بفحص نقص المطابقة Lack of Fit Test في ضوء طريقة البوتستراب (Bootstrap ) اي ( تكرار ا | The term " Self - Consistency " means ; examine the Self - consistency of a principal components axis : when a distribution is centered on a principal component axis, which provides a simple straight line approximation to a multivariate distribution.A principal component axis of a random vector X; is self - consistent if each point on the axis corresponds to the mean of X given that X projects orthogonally on to that point.this examination is done by " Bootstrap - Lack of fit " test applied on to two kinds of data set (real and simulation) with different samples (small, medium, large),depending on the probability values for getting levels of significance (to assess the self - consistency of principal component axis) which is based on the frame work of the data set, whether it will be true (towards to the elliptical form for the multivariate normal distribution) or generated data set using the restrictive simulation ( towards to the asymptotic spherical form for multivariate normal distribution ) that's for estimating the self - consistency by the hypothesis ;Hk : Yk is self - consistent for Xprincipal component analysis for factor analysis is use with the aim of analyzing the large number of variables and their effective factors by the factor rotation procedure which is assumes also the multivariate normal distribution, with proposed technique, based on the smallest column on X for different sizes of samples ( small " 5 - 20 " , medium " 25 - 50 ", and large " 60 - 100 ").High level of fit, is the result of " Bootstrap - Lack of fit" test in all sample size for all research variable's; with little difference and the best for male group of the results for female group on the size ( 5 - 35 ) , conversely for another size's.and also we saw highest level of self - consistency in the small sample size ( 5 - 20 ) for true data set using direct oblimin rotation method for male group, in the medium sample size ( 25 - 50) using the same method with direct method( None) for female group.In generated data set by normal restricted simulation technique, also high level of fit is the result of " Bootstrap - Lack of fit " test in all sample size's and for all sample Size's (small, medium, large) and for tow group's (male, female), which indicate to the usefulness of using the restricted simulation technique to take pure data set, and the model with high level of stationary.also we saw highest level of self - consistency in the different sample size's, using the varimax rotation method for tow Group's (male, female), the two method's ( none, direct oblimin rotation) in some of sample size's which refers to corresponding the normal stat with varimax rotation method ,that is well known of its object for simplified explaining the factor matrix by maximization the loading variance

مقارنة بعض الطرائق المعلمية واللامعلمية لبعض تصاميم القياسات المكررة == A Comparisoin of Some Parametric And Nonparametric Methods For Some Repeated Measures Designs

Author name: سجى محمد حسين علي الهاشمي
Supervisor name: ظافر حسين رشيد النجار
Specific topic: Statistics
Degree: Doctorate
Language: Arabic
University location: Baghdad
First pages:
Abstract: في الكثيرمن الدراسات الطبية والتربوية والسيكولوجية (علم النفس)وعلم الاجتماع نشاهد بان المفردات (subjects) تتكرر تحت مختلف الشروط التجريبية((conditions والتي تسمى بالمعالجات (treatments) وان البيانات المتجمعة من مختلف الوحدات التجريبية تفترض لان تكون مستقل | In many medical , educational , psychology and sociology studies we find that the same subjects repeated under different experimental conditions which called treatments. The collected data from different experimental units suppose to be independent while the observation for the same experimental units will be dependent. The term repeated measures designs is called for this type of data in which the response for every experimental units or subjects is tested or measured under a number of different experimental conditions. Our attention will be on the case of a univariate response variable. There are many procedures for testing the null hypothesis that there is no treatments effects, depends on the number of treatments. either the same subjects are tested under two treatments or tested under three treatments or more. The aim of this study is comparing the tests for nonparametric and parametric methods of repeated measures designs for two treatments through applying the tests on true experiments data. and comparing the tests for nonparametric and parametric methods for three treatments or more, which included two designs which are the complete randomize block design when the ANOVA conditions are satisfied. And the One - way generalized repeated measures model when does not assume specified form of the variance - covariance matrix.Simulation procedures are used in order to compare probability of type one error and power of the test for all methods. In addition , the researcher presented the suggested methods and analyzing the results by comparing them with the other methods for the mentioned designs.

مقارنة اسلوب بيز مع طرائق اخرى لتقدير دالة المعولية لتوزيع باريتو من النوع الاول == A Comparison of Bayesian Approach With Another Methods To Estimate Reliability Function For Pareto Distribution of The First Kind

Author name: ستار محمد صالح
Supervisor name: صباح هادي عبود الجاسم
Specific topic: Statistics
Degree: Master
Language: Arabic
University location: Baghdad
First pages:
Abstract: في هذه الرسالة تم تقدير دالة المعولية لتوزيع باريتو من النوع الاول (Pareto Distribution of the First Kind) في حالة توافر معلومات اولية عن المعلمات وفي حالة عدم توافرها وتم توظيف اسلوب المحاكاة (Simulation) بطريقة مونت كارلو (Mont - Carlo) للمقارنة بين طرا | In this dissertation, an estimation of reliability function for the Pareto Distribution of the First Kind has been done in the case of exists a prior information and not exists. A simulation approach by Mont - Carlo method is used to comparisons between the methods of estimation to find the best method of estimation this function. To realizes the object of search, the search is divided into four chapters. The first chapter contain an introduction, object of search and the review of literature. The second chapter contain the theoretical part. The third chapter include the experimental part, and finally the fourth chapter include the conclusions that researcher find they and recommendations suggested from him about the search. The researcher find that the Bayes approach is the best in estimation of reliability function comparing with the other method of estimation through depending on the two statistical measurements integral Mean Squared error (IMSE), and integral Mean Absolute percentage error (IMAPE).

طرائـــق بيــز فــي تحليــل نمــوذج القياس الاقتصادي المكاني مع تطبيق عملي == Bayes Methods In Analyzing Spatial Econometrics Model With Practical Application

Author name: سامي غني خضير عطره
Supervisor name: خالد ضاري عباس الطائي
Specific topic: Statistics
Degree: Doctorate
Language: Arabic
University location: Baghdad
First pages:
Abstract: ان الخاصية الاساسية لتمييز البيانات المكانية عن بيانات السلاسل الزمنية هي الترتيب المكاني للمشاهدات , وعينات البيانات المكانية تمثل مشاهدات ترتبط بنقاط او مواقع وتتميز هذه البيانات بان ارتباطها يضعف كلما بعدت المسافة وكذلك تتميز بتدرج المكان (( المناطقية | The main property to differentiate the spatial data from time series data is the spatial arrangement of observations and the samples of spatial data represent observations related to points or locations these data are distinguished with the weakness of their connection each time the distance getting far away and the place graduation (location)on the spatial relations of observations are represented in matrix named spatial weights matrix. The spatial econometrics is used in following up the spatial effects like the spatial dependence of observations in different points of place, and spatial heterogeneity arising from relations or parameters model that change with sample data in each time we move within the place , those two points have been neglected in traditional econometrics because of their sinconsistency of statistical assumptions and when taking those spatial effects into consideration ,the statistical influence will be of high efficiency. On the contrary, ignoring these effects will lead to loss the information and will not be as efficient as the dependant sample.Because of the difficulty of deriving the posterior function (on which the Bayesian inference depends) up on applying the Bayesian methods especially in cases that the number of probable models is very large as computing the posterior functions for all these samples requires integration for large dimensions functions which is very difficult Mathematically or inapplicable that requires proper methods can deal with such cases like Gibbs and Metropolis - Hastings sampling by analyzing the posterior distribution to number of conditional distributions for each parameter in the model and then the simplicity of inference for each parameter in the model.The matrix of spatial weights is built by registering the contiguity relations for each location with others in a matrix row (w?) and given (1) if there is a relation between two locations (wij=1) and zero, if it doesn’t (wij=0)as i and j refer to the rows and columns in sequence. For making the summation of each row in the matrix w? equal to 1 , the elements of matrix will be calculated according to the proportion : wij/ ?wij and i=1,2…,n j=1 Consequently, we will get the adjusted matrix W.The practical side was focused on the counting of spatial autoregressive model parameters, and these parameters is the vector ? and it is an ordinary regression parameters vector, and error variance parameter (?2) , and the most important of them is a countig of the parameter (?) which is represent spatial dependance parameter.In order to show the role of the spatial, the practical side included taking the real population for childrens between(1 - 19) year, that had iron deficiency anemia (due to from iron deficiency) that admitted to children’s hospitals in Kurkh district of Baghdad (which had been divided into five geographic regions) for 2010. We have suggested that computing the elements in the adjusted matrix to be on basis of the actual length proportion of the joint borders among different locations that lead to get the accurate estimated value of spatial dependence parameter، where value result of spatial dependence parameter (?) was (0.43) when use Metropolis - Hastings sampling method while value of this parameter when use spatial outoregressive function and by using the adjusted matrix was( 0.57) and value of this parameter when use the same regression function but by using the suggested matrix was (0.85).

مقدرات بيز لدالة المعولية الضبابية للتوزيع الاسي باستخدام المحاكاة مع تطبيقها على الشركة العامة للصناعات الكهربائية == The Fuzzy Reliability Function Bayes Estimators For Exponential Distribution Using The Simulation With It Is Application On The State Company For Elictrical Industeries

Author name: زينة ياوز عبد القادر اوجي
Supervisor name: عماد حازم عبودي
Specific topic: Statistics
Degree: Doctorate
Language: Arabic
University location: Baghdad
First pages:
Abstract: يدرس البحث الضبابية والتي مفهومها ان كل قيمة تقع ضمن فترة معينة،ونعتمد في تحديد حدود هذه الفترة على الخبرات السابقة حول موضوع الظاهرة المدروسة.وفي بعض الاحيان يصعب تحديد هذه الفترة ونتعامل مع القيمة الضبابية وما حولها من القيم القريبة دون الاعتماد على ا | This paper concerned with studying the fuzzy which means that each value is within specific period and to determinate the limits of this period depends on previous expertises about the studies phenomena subject.Some times it is difficult to determine this stage or period ,in this case we deal with the fuzzy values and other proximate ones without depending on previous expertises ,because they are not available or because of te differences in points of researches,view about the determination of minimum and maxmum restriction for there values.Through this research we will treat fuzzy lifetime data that each value does not have minimum and maximum limitation which enable us to appoint the sutable belonging degrees but all lifetime data have minimum restriction which represent the begininning life time , and maximum one that represents the end of lifetime And by using membership function of Ching to determing a membership function for those data , This paper discussed two procedures to estimate the fuzzy reliability ,Bayes procedure that includes the following : 1 - Sample data are fuzzy and the prior distribution for parameter includes an unfuzzy parameter.2 - Sample data are unfuzzy and the prior distribution for parameter includes an unfuzzy parameter. 3 - Sample data are fuzzy and the prior distribution for parameter includes a fuzzy parameter. 4 - Sample data are unfuzzy and the prior distribution for parameter includes an unfuzzy parameter And FRDP (Fuzzy Reliability Definition Procedure) that uses component trapezium method,to find numerical integration ,by using the Exponential distribution form for sample data,and Gama distribution for the prier distribution for the parameter of Exponential distribution ,and four value for sample size.And depending on the results that have been conducted in the experimental side ,it is shown that bayes is the best in estimating the fuzzy reliability when the fuzzy sample data have membership degree equal to 0.1for samples of small sizes. When the failure times average value is bigger than one ,so Bayes is the best in estimating the fuzzy reliability for small samples sizes,and FRDP is the best in estimating the fuzzy reliability for sizes of big samples The data which have been taken from the state company for electrical industries of foundation machine Toshiba are used as well after bayes method and FRDP method are applied to estimate the fuzzy reliability,it is noticed that results of both the applied and experimental side are th
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