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بناء انموذج رياضي لتجزئة التخطيط الاجمالي (DISAGGREGATE) مع تطبيق == Building A Mathematical Model To Fractionation The Total Planning (DISAGGREGATE) With Practical Application

Author name: وعود سالم عباس
Supervisor name: عبد الجبار خضر بخيت
General topic: Administration and Economics
Specific topic: Operations Research
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: تناولت الدراسة موضوع تخطيط الانتاج الاجمالي لشركة الفداء العامة التابعة لوزارة الصناعة والمعادن من خلال تجميع جميع منتجات هذه الشركة التي تشترك بعضها بالبعض الاخر ضمن خصائص وقت التنصيب ووقت الانتاج وكلف الخزين على شكل ثلاث عوائل انتاجية هي (الاسطوانات اله | The study Addressed the total production planning to the fadaa public company redemption of the Ministry of Industry and Minerals by grouping all the products of this company that share to each other the other part of the time of installation and production time characteristics and cost inventories on three families of productivity is a form (hydraulic cylinders, Aldblatt (dampers), wiring, hydraulic ) by building a mathematical model based on a set of strategies for overall planning for the purpose of optimization of the potential productivity and reduce costs through the production process style of programming integers and unity of time, measured month. Also it addressed the issue of fragmentation of the total production planning (fragmentation of families) to the main purpose of their products to meet the demands of customers relying on the main indicators of the first model as inputs to tsecondmodeandStatement of distractions during the implementation of production lines, which depends on the first mathematical model outputs to reduce distractions for a total of one family products during the implementation of production lines and accelerate the process of implementation of the products on time through the use of proper programming setup using linear programming method within a week Transaction It serves as a so - called production schedule chairman, and through the application of the models show that the total costs of the company in accordance with the mathematical models used was (361,407,800) million while the cost of the company executing the plan and the duration of time itself in 2014 has reached (390 330 100) million, a difference of (28,922,300), and this is evidence of optimization models for production planning.

مقارنة طرائق تقدير المعلمات والمعولية لانماذج الاختبارات المعجلة والنمو لبيانات المراقبة من النوع الثاني مع تطبيق عملي

Author name: ورود باسم نور بهية
Supervisor name: انتصار عريبي فدعم الدوري
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: نظرا لاهمية المعولية في التطبيقات الصناعية والهندسية فقد ظهرت الحاجة لاختبارات المعولية والتي هي سلسلة من الاختبارات والكشف عن العوامل التي تظهر خلال الاختبار وتاثيرات ومسببات عطل الماكنة نتيجة سوء الاستخدام وغيرها من الاسبباب وكذلك معرفة مدى ملائمة الان | Reliability has an important role in both the industrial and engineering applications. So the need for Reliability Tests appeared are series of tests a discover out of factors that appear through the test, also an effects too casese to defuse, probably to be created cases misuse a machine and other than, knowledge limit of fit a specifics production addition for getting on goodness of production. Therefore, the need for research to set of tests for censor data from ( Type II ) for exponential distribution with one parameter and these tests it’s (Accelerated Life Testing) to complete estimation parameters and reliability for the test models and these models it’s (Accelerated Cycling, Constant Stress ,Arrhenius and Eyring ) with tow methods ( maximum likelihood method, least squares method ) for all models above ,either Number of Units on Test To be complete calculation number of units inside in the test. And the other test is Reliability Growth includes three curves are Idealized Growth curve estimation parameters and reliability with maximum likelihood method, Duane Growth curve takes estimation parameters and reliability with least squares method, Exponential Reliability Growth Curve take estimation parameters and reliability by means of constraints for finding an optimal solution. Also The thesis so falls into four chapters. the first chapter is the introduction, the objective of the thesis as well as the review of literature. the second chapter tackles theoretical aspects contains exponential distribution,properties exponential distribution, estimation method, acceptance testing, accelerated life test, reliability growth testing and confidence intervals. The third chapter(application side)include tow parts,the first takes censor data (type II) from source (separate the soap off Al - Rasheed factory) and subjugate it for goodness of fit tests to be complete application on accelerated and growth tests, the second takes the simulation experimental and compared between estimation parameters for tests accelerated and growth for all models the test by depending on the statistic measure (MSE). Finally, the fourth chapter contains the more important findings and recommendations as well as the future visions which the thesis included. Also the thesis contains computer programs prepared by the researcher as well as another especial attaches.

مقارنة طرائق تقدير معلمات الانـموذج الثنائي اللوجستك المختلط باستخدام المحاكاة مع تطبيق عملي == Comparing The Estimation Methods of The Parameters of The Logistic Linear Mixed Model By Using The Simulation With Practical Application

Author name: هند وليد عبد الرحمن الجبوري
Supervisor name: ظافر حسين رشيد النجار
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: تم في هذا البحث دراسة احد اهم النماذج الواسعة الاستخدام والتطبيق في تحليل البيانات التي تاخذ شكل تجمعات Clustered والتي تكون ذات استجابات مرتبطة Correlated وهو الانموذج الخطي العام المختلطGeneralized Linear Mixed Model (GLMM) لتحليل البيانات الطولية Long | This research was conserning in the study of one of the important models that are widely used in analyzing the data which take clustered form and have correlated responses, this model is Generalized Linear Mixed Model (GLMM) for analyzing the longitudinal data which it's responses are correlated. So this research was dealing with this model in an expanded form including its importance, uses, feature, modeling and the estimation methods then focusing on one of the most widely used examples when the responses of longitudinal Data are Binary which is Binary Logistic Mixed Model taking into account its modeling, importance, uses and the parameters estimation methods, so three important estimation methods were used to estimate the fixed and random effects parameters and these are : 1) Classical maximum likelihood (ML) Method.That include three basic algorithm by which the maximum likelihood estimator is obtained and it's as follows : I) Monte Carlo Newton Raphson (MCNR).II) Monte Carlo Expectation Maximization (MCEM).III) Simulation Maximum Likelihood (SML).2) Robust Maximum Likelihood (RML) Method.3) Penalized - Quasi Likelihood (PQL) Method.In the experimental aspect comparison was done of which is the best among these methods through the simulation procedure by using Monte Carlo method and implementing several experiments using two of the important statistical measures which are Mean Square Error (MSE) and Bias, generally as a result it was found that Robust Maximum Likelihood (RML) Method is the best between these methods as it has minimum Mean square error and minimum bias comparing with the other methods.While in the application aspect practical application was done on data represent the successive monthly measurements for diebetic children whom depend on the insulin treatment which represent the fixed effect and the patient represents the random effect in order to study the effect of both the insulin dose and the patient on the blood sugar rate, it was found that the insulin dose has significant effect on the blood sugar rate while the patient has not that effect

بناء انموذج ديناميكي وانموذج هدفي في ظل البيئة الضبابية مع تطبيق عملي == Building of Dynamic Model And Goal Model Under Fuzzy Environment With Practical Application

Author name: هبة الله سعد عبد الغني
Supervisor name: محمد صادق عبد الرزاق الدوري
General topic: Administration and Economics
Specific topic: Operations Research
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: في مشكلة اقصر مسار لشبكة اعتيادية يفترض بان يكون صانع القرار متاكدا من البيانات في الشبكة, والتي تمثل الوقت والمسافة والكلفة...الخ, لكن في واقع الحياة توجد دائما شكوك حول هذه البيانات اي لايمكن تحديدها بشكل دقيق, ففي مثل هذه الحالة يتم تمثيلها بالاعداد | In the shortest path problem of classical network, It is supposed that the decision maker has assured from network data ,which represent time , distance and cost …etc. But in real live there are always suspicions about these data that is may not be determined exactly , in this case it is represented by fuzzy numbers.In this thesis a directed acyclic network was built with times represented by triangular fuzzy numbers to find to transport the medicines from Iscan store to Al_Amal hospital of cancer tumors where the shortest path has minimum time among other paths in the network ,two deferent methods were used for solving the problem, the first method is Bellman dynamic programming.In this method a fuzzy times are treated by signed distance ranking method and solve the problem as classical network. The second method is to formulate the problem with fuzzy times as a multi objective linear programming model and use the weighted additive method to unite the objective functions as a single objective function with a defined weights and then solve the problem classical linear programming we found the shortest path in both the methods are same and minimum time in the first method equal to the optimal solution for second method , and in addition minimum fuzzy time in the second method Is obtained.

تقديرات الهجرة الداخلية في العراق باستخدام النماذج السكانية == Internal Migration Estimates In Iraq By Using Population Models

Author name: هالة وليد حمدي الزبيدي
Supervisor name: بشرى علي يعقوب الجعفري | خالد زهدي مصطفى خواجه
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: ادى تزايد حركة السكان في العراق الى حصول هجرة داخلية.و لاهمية هذه المشكلة وما ترتب عليها من نتائج، لذا فقد حاولت الباحثة من خلال هذه الدراسة تحليل البيانات التي لها علاقة في نماذج حركة الهجرة الداخلية.وتهدف الى استنباط تيارات الهجرة الداخلية في القطر،وذ | Population Increasing movements in Iraq cause an internal migration. In spite of danger of this problem and what effects of it, so the researcher has tried through this study analysis the data, which relation in internal migration on models. Aiming at internal migration streams in country by using special population models of internal migration by direct and indirect methods. First chapter including general entrance displays general concepts and determines the problem and the purpose of the research and its importance and the background. The second chapter is measuring internal migration in Iraq and discusses the methods of the measure, the principal data references for migration, population distribution, the internal migration data in Iraqi census, the problem and difficulty of migration, the method of measuring internal migration from the census data is discussed by direct methods like Birth place, Duration of residence, The last residence and The reason of changing the residence place. The indirect methods like Vital statistics, The Survival ratio and National growth rate. The third chapter discusses the study of migration rates and ratios in Iraq and the demographic trace and divided into direct method like migration stream rates and in - migration, out - migration, net - migration rates and Birth - residence index, Gross intercensal interchange of population and Basic model. Indirect method like migration rates by using Survival ratio rates method, Vital statistics rates method, National growth rates method, and discuss the mathematical model and its relationship to internal migration, migration economic, demographic traces and migration effect on population growth. And the impetuses to internal migrations movement. The forth chapter discuss some important conclusions and recommendations.

تقدير الفعالية النسبية لانموذج القطع المكافئ في تجارب نسبة الميل لقياس تاثير زيتي الزعتر والكتان على الوزن == Estimation of Relative Potency For Parabolic Model In Slope Ratio Assays To Measure Effect of Thyme And Flax Oils On Weight

Author name: نضال بهجت محي الحيالي
Supervisor name: قيس سبع خماس
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: يتناول البحث تقدير الفعالية النسبية (Relative Potency) لزيت الزعتر(الاختباري) نسبة الى الكتان (القياسي) لانموذج غيرخطي (parabolic model) باستعمال طريقة احصائية تكرارية وهي : (طريقة البحث الخطي) ودراسة تاثيرالتكرار عند الجرعة صفر فقط لمعرفة مدى الابتعاد عن | This study deals with the problem of estimation the relative potency of thymus oil and linum oil , for parabolic model by using the : line search method , and we study the effect of replication at zero dose and near zero dose on the type of relationship whether is linear or not , we partition the thesis into five chapters , the first included the introduction and the aim of this research work and historical review, the second chapter included the theoretical part where we stated the relative potency estimation method for nonlinear model, the third chapter went through the experiential part of this research work, the four chapter went through the practical part of this research work, finally chapter five went through the conclusions and recommendations of this research work, we conclude that the potency of thymus oil is (0.115) times the linum oil according to the parabolic model

مقارنة مقدر المنوال الحصين مع بعض المقدرات الاخرى ولمعلمة الموقع == Comparing The Robust Estimator of The Mode With Some Other Estimators For Location Parameter

Author name: نازك جعفر صادق
Supervisor name: عماد حازم عبودي
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: The robust estimators are these estimators which resist all cases of data contamination by outlier values which are suitable to a wide sector of distribution. The present values deals with searching for the best estimator for location because this topic is important for the high frequency cases of contamination. Hence it is important to use robust ways in choosing the best robust estimator which being affected by outlier values. The aim of this study is to choose the estimator which is most immune to asymmetric distributions and to any rate of contamination. It also aims at studying the function of such an estimator through simulation experiments which take many cases into consideration.The study falls into four chapters. The first chapter is an introductory one which includes the introduction, the aim and a historical servey for certain general concepts which have close relation to the topic understudy. The second chapter deals with the median and robust estimation which include median estimator and other location estimators and the criterion used in the present study. As for the third chapter, it includes the experimental side of the study. Finally, the fourth chapter, it deals with the conclusions and recommendations which the study comes up with.Some of the important which researcher has come up with are that has been able to find a most robust estimator after comparing it with a group of estimators. This estimator is the Robust Parameter Estimator (RPM). It can be considered much better than many available robust estimators.

الاسقاطات السكانية لمحافظـــة البصـــرة للفتـــرة (1997 - 2022) باستخدام نتائج التعداد العام لسنة 1997 في العراق == The Populational Projections of Basrah Governorate For The Period 1997 - 2022

Author name: نادية علي عايد الحميداوي
Supervisor name: بشرى علي يعقوب الجعفري | زهرة حسن عباس التميمي
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: ان الاسقاطات السكانية من الطرائق الاساسية التي تستند عليها اغلب الدراسات والبحوث في مجالات متعدده، اذ ان معرفة اعداد السكان والتغيرات الحاصلة له بصورة مستمرة تعد الركيزة الاساسية التي تعتمد عليها خطط التنمية ولان التعدادات السكانية تجري كل خمس او عشر سن | Populational projections are considered to be the basic methods , which most studies and researches depend upon. By these methods it could be knowing the demographical , social , and economic features of the society , which these are considered to be the bases of most development plans. As the population census is carried out in every five or ten years , so the importance of following the populational projections has been apperied as a good way to be used.The aim of this study is to show the populational projections of Basrah governorate for the peried 1997 - 2022. According to the census of the year 1997 and by using the component method, which requires projections and estimations for the fertility , mortality and migration separatily therefore , we study the level and the direction of fertility for the period before year 1997 , taking into consideration the impacts of the current and future circumstances in the governorate. Besides , we analyse the death data to get the suitable level for these projections. After satisfying all the requirement of population projections , and using components method , the results are got and population of Basrah governorate from the year 1997 to 2022 is evaluated

مقارنة بعض الطرق الحصينة للمربعات الصغرى الجزئية == Compare Some of Robust Methods For Partial Least Squares

Author name: ميسون علي رحمن المندلاوي
Supervisor name: هلال عبود البياتي
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: الحمد لله والصلاة والسلام على رسول الله سيدنا محمد (صلى الله عليه وسلم )وعلى اله وصحبه وسلم اما بعد...يتناول البحث استخدام انحدار المربعات الصغرى الجزئية PLS)) Partial Least Squares وهي تقنية انحدار خطي طورت للتعامل مع انحدارات ذات ابعاد عالية لمتغير وا | Partial least squares regression ( PLRS) is a linear regression technique developed to deal with high - dimensional regression and one or several response variables. In this paper we introduce robustified version of the SIMPLS algorithm being the leading PLRS algorithm because of its speed and efficiency. Because SIMPLS is based on the empirical cross - covariance matrix between the response variables and the regressors and on linear least squares regression, the results are affected by abnormal observations in the data set. Two robust methods covariance matrix for high - dimensional data and robust linear regression. We introduce robust RMSECV and RMSEP values for model calibration and model validation diagnostic plots are constructed to visualize and classify the outliers. Several simulation results and the analysis of real data sets show the effectiveness and the robustness of the approaches. Because RSIMPLS is roughly twice as fast as RSIMCD, it stands out as the overall best method.

بناء انموذج للمعاينة البيزية المفردة بافتراض مربع كاي كتوزيع مسبق == Constructing A Model For Bayesian Single Sampling Plan Assumed Chi - Squaar As A Prior Distribution

Author name: ميسون حميد فرج محمد
Supervisor name: محمد صادق عبد الرزاق الدوري
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: يتضمن هذا البحث بناء انموذج لخطط المعاينة البيزية باستخدام نظرية القرار، هدف الانموذج التوصل الى معالم خطة بيز المفردة (n,c) حيث n تمثل حجم العينة، c تمثل عدد القبول الضروريان لفحص المنتوج واتخاذ قرار لرفض او قبول الدفعة. قمنا باشتقاق ومناقشة خصائص نظام خ | This research deals with the process of Constructing a model for Bayesian Single Sampling Plan by using decision making theory. The aim of this Model is to obtain the parameters (n,c) which represent Sample size (n) and acceptance number c, which are necessary to inspect the lot and to make a decision whether to accept or reject the product. We drive and discussed the properties of the system of single sampling attributes plan obtained from minimizing the average Expected cost under the assumption that cost decision is a linear function in lot size and sample size. The distribution of the sampling is a mixed Poisson distribution i.e, each lot produced is in Poisson Control but the process average varies from lot of anther according to frequency distribution which is assumed to be derived in the neighbor points of the break - even quality level. We explain all the notation and steps of obtained the total Expected cost of quality Control, which contain the item of cost (Cl,C2...C6) upon the decision of acceptance or rejection, and then how to solved mathematically using forward Variances function to reach the Optimal Parameters (n*,c*). Then the Optimal size of the Sample size is identified is linear function from square root of the lot size. Some auxiliary tables are given, Which represent the results we obtained which indicate that the prior distribution of quality is Chi - Square with m degree of freedom, we apply NP - Chart to make decision about process, we apply also the test of goodness of fit for testing the hypothesis.

مقارنة بين طرائق تقدير المعولية في حالة الاجهاد والمتانة لانموذجي باريتو وويبل == A Comparison of Approach Estimation Reliability Incase of Stress - Strength For Pareto And Weibull Models

Author name: مي تحسين عبد الحليم العاني
Supervisor name: صباح هادي عبود الجاسم
General topic: Administration and Economics
Specific topic: Operations Research
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: في هذه الرسالة تم تقدير المعولية في حالة الاجهاد والمتانة لبعض النماذج الاحصائية على فرض ان متغيري الاجهاد والمتانة العشوائيين مستقلان ولهما التوزيع نفسه. ولقد كانت نماذج الاجهاد والمتانة التي تم اخذها بنظر الاعتبار في هذا البحث هي الاتية : اولا : انموذج | In this dissertation, the reliability of the stress and strength has been estimated for some statistical distributions on the assumption that the variable of stress and strength are random and independent and have the same distribution, where is the stress and strength model have been taken under consideration in this research are as follow : 1 - Pareto stress - strength model.2 - Weibull stress - strength model.The methods of estimating the distribution parameters for each model were the maximum likelihood (ML) moment (MOM), least square (LS) and sharing age (Sh) depending on the availability of primary information about the parameters in order to be estimated.In this research a comparison was conducted among the methods mentioned above to estimate the reliability in case of stress and strength the models in order to reach to the best method to estimate the reliability by assigning Monte Carlo simulation approach depending on the two statistical measurement such as the mean square errors (MSE) and mean absolute percentage errors (MAPE) for comparison between the priority of estimators and various sample size (small, medium, large).The researcher which reached to best method is Maximum Likehood Method (ML) to estimate the reliability in case of Pareto stress strength model, and Shrinkag Method (Sh) to estimate the reliability in case of Weibull stress strength Model, that are presented in this dissertation

بعض طرائق تقدير معلمات دالة المعولية لنموذج احتمالي مركب مع تطبيق عملي == Some Methods of Estimation Parameter Reliability Function of The Probability Model Compound With Practical Application

Author name: مهدي علي عبد الحسين الدريعي
Supervisor name: تهاني مهدي عباس الياسري
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: تعد التوزيعات الاحتمالية المركبة من التوزيعات الاحصائية التي كسبت اهمية متميزة في العقود الاخيرة وذلك لتطبيقاتها الواسعة في المجالات الهندسية والصناعية والتجارب الطبية والبايلوجية وبناء على ذلك فقد تم استعمال انموذج احتمالي مركب (الاسي - ويبل) ذي الثلاث | The probability distributions compound is important statistical distributions which gained importance and wide in recent decades, to the importance of their use in scientific fields, and at the Advanced has been addressed in this letter to the probabilistic compound model (exponential - Weibull) with three parameters and characteristics enjoyed by such possibility Writing probability density function and cumulative function and reliability function was used four different methods of estimating 1 - Maximum Likelihood Estimators Method2 - Percentiles Estimators Method3 - Least squares method4 - Weighted least squares methodAnd a favorable comparison between these estimators using simulation style through several experiences of one of the main users of statistical standards which is the mean squer error It was reached that the best way to estimate the reliability function is the Maximum Likelihood Estimators Method for having the lowest mean squer error.Or in the practical side it has conducted a practical application to real data taken from the State Company for Textile Industries in Wasit, which is for times of failure for machines textile department and assess the sample sized 101 machines communtiy 450 machines function of reliability with the use destined reached by a researcher at the experimental side, a Maximum Likelihood Estimators Method, and through the results turned out to estimate reliability function decreases gradually increase the time.

نموذج للتخطيط القوى العاملة : دراسة ميدانية في كليتي الطب والادارة والاقتصاد - جامعة البصرة == A Model For Manpower Planning A Survey In Medical & Admin. & Econ. Colleges University of Basrah

Author name: منى طاهر غافل الربيعي
Supervisor name: محمد عبود طاهر
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: It is difficult to recruit the manpower of lecturers to provide the University of Basrah with them. University of Basrah suffers from the problem of putting a planning system for manpower which taking into consideration the following three systems (supply of the lecturers, demand of the lecturers, controlling of these two systems). In order to achieve that aim, the researcher performed this study "A Model for Manpower Planning" which depended upon a model to predict the size of manpower supply and demand for Lecturers in the Medical and Administration & Economics Colleges. These employees were separated into groups such as, the length of career period, or ages groups, to show the deficit or the surplus and the equilibrium between supply and demand. To carry out that model, it was used "Visual Basic 6" programme.(CD can be demanded from the researcher) This study could be considered an initial study in manpower planning among the structural systems of the manpower. It is a continual for the previous studies besides the following additions : 1. Find the expected supply of the manpower with expected demand for every rank of the hierarchy with freedom of choosing the number of the ranks to be no more than two or four.2. Calculate supply and demand of the manpower separated into groups such as the length of career period or ages groups. 3. Putting an equilibrium between supply and demand and putting conditions for promotion, recruitment and wastage.4. Representing the model in the computer by using (Visual Basic 6) language to construct easy model to be used to find the expected demand and supply for ever rank and showing the deficit or the surplus and the quantity of promotion, recruitment and wastage for every rank.

مقارنة طريقة Taguchi مع طريقة سطح الاستجابة للتجربة العاملية الجزئية باستخدام المحاكاة == Comparing Taguchi Method With Response Surface Method For The Fractional Factorial Experiment By Using of Simulation

Author name: منال جبريل محمود تيم
Supervisor name: كمال علوان خلف المشهداني | عبيد محمود محسن الزوبعي
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: تتلخص هذه الرسالة باعطاء فكرة مبسطه عن التجربة العامليه 2 n من حيث المعالجات والتاثيرات والنماذج والتصاميم الرياضية، ومن ثم دراسة تكوين التكرار الجزئي للتجربة 2n عندما يكون عدد العوامل مساويا الى ثلاثة عوامل وكل عامل بمستويين متضمنة توضيح طرق التحليل الا | The thesis provides simple idea for the 2n fractional experiment, it, treatments ,impacts, and mathematical models and methods, and studying the establishing of fractional frequency for 2n experiment when the number of factors are three with two levels each. and explaining the statistical analysis methods which are convenient for the two levels case for each factor in fractional factorial experiment ,and the same for 3n fractional factorial experiment when the number of factors are three with three levels each, then studying the robust design through Taguchi criterion design approach and Taguchi experiment method, and studying response surface, its, design of first and second grade, and applied it in selecting the levels and it’s values. The research depend mainly on using simulation method for Comparing Taguchi method with response surface design (first and second grade) by using (MSE)as measurement tool. The simulation experiments results approve that response surface always gives better results for (MSE) THAN Taguchi method.

المقارنة بين طرائق تقدير النموذج الرياضي لسلسلة الحمض النووي DNA مع تطبيق عملي == Comparison Among Mathematical’s Model Estimator Methods For Sequences Nucleic Acid DNA With Application

Author name: مظهر خالد عبد الحميد الجبوري
Supervisor name: فاتن فاروق صالح البدري
General topic: Administration and Economics
Specific topic: Operations Research
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: ان الهدف من هذا البحث هو تحديد افضل نموذج رياضي احتمالي لسلاسل الحمض النووي الـ(DNA)، لغرض ايجاد (تقدير) تكرارات الجين لعينة سكانية تم استعمال ثلاث طرائق هي : الامكان الاعظم (Maximum Likelihood Method)، وطريقة العد (A count Method)، وطريقة برنشتاين (Berni | Aim of a research is to limit a better Mathematical model for Nucleic Acid (DNA) of evaluation of gene repetitions, for population sample then using of three methods of maximum likelihood and a count method, and Bernstien method.Evaluation of repetition considers so important to know how to distribute phenotype and genotype in order to know a distribution of phenotypes that show an effect of vary differences at this distribution to limit distribution function of these styles. Although dynamic programming principle is one of modern ones in condign of genetic sequences, thus the principle of condign ? - Globine sequence in human blood, so ? - Globine in Rats’ blood and mice blood. What are mentioned aims to compare between them by using genetic Algorithms and Global Alignment and local alignment to know a similarity and difference between these sequence which considers a good advance of analysing of coding and mutation, printing hold and visual Basic in order to write a special program with Algorithm of a global alignment to a chive this research.

طرائق لتقدير معالم نماذج عمليات ليفي وتوظيفها في اسعار عوائد اسهم مصرفي الشمال والمتحد == Methods of Estimating Model Parameters Le'Vy Processes And Emoloyment In Returns Stock Prices North Bank And United

Author name: مريم جمعة موسى
Supervisor name: مناف يوسف حمود
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: تعد سوق الاوراق المالية الهدف المنشود للمستثمرين الذين يرغبون في التخصيص الكفء للموارد المالية المتاحة لديهم الامر الذي يتطلب توفر قدر من البيانات والمعلومات المالية الصحيحة المتعلقة بالشركات التي تتداول ادواتها في السوق حتى يتمكن هؤلاء من ترشيد قراراتهم | The stock Exchange is the target for investors who are interested in the efficient allocation of financial resources available to them , which would require a lot of data on companies that are trading their tools on the market so they can rationalize their decisions and make profits unusal in light of market efficient proper financial in formation.However because there are fluctuations in returns stock prices resulting from low and high stock returns prices at the Iraq stock Exchange solve this problem by using stochastic processes models,One of the models le'vy. Relying on the so - called Brownian subordinate as it has been relying on the so - called Normal Inverse Gaussian (NIG).the research aims as the estimate that the parameters of his model using two methods (MME,MLE) and then employ those estimate of the parameters in the study of stock returns and evaluate asset pricing for both the united Bank and Bank of North which their data were taken from the Iraq stock Exchange. As well as the use of simulation method for the purpose of simulating the practical side with a different presumed cases.Has been reached the practical side, which showed the results to a preference MLE on MME based on the standard of comparison the average square error (MSE).As for the side of the simulation it has shown favorable results also MLE on MME. As well as the simulation results indicated that the increase in the value of kurtosis and decreasing the value of skewnsses in NIG model it may cause a decrease in large volatility especially when increasing valumes of samples while side applied found that the yield rate of the stock of the Bank United is higher than the rate of returns for the North Bank as well asthe United owning less coefficient c.v compared with the North Bank and both estimater (MME,MLE).therefore the United Bank is the best investment of the Northa Bank in addition , the North Bank was less efficient than the United Bank for, leading this speech to preference of investors to invest with united Bank and its superiority on the North Bank.

مقارنة بعض خوارزميات التحليل العنقودي في تنقيب البيانات (Data Mining) مع واقع تطبيقي == A Comparing To Some of The Algorithms Cluster Analysis In Data Mining With Application

Author name: محي الدين خلف ايوب
Supervisor name: قتيبة نبيل نايف القزاز
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: ان التقدم العلمي المتسارع والانتشار الواسع للمعلوماتية ادى الى الاستعمال الالكتروني لمختلف المعلومات والتي اصبحت تتراكم بشكل هائل في قواعد بيانات كبيرة, وهنا تكمن اهمية البحث في محاولة تنضيج وتبويب هذا الكم الهائل من البيانات في قواعد معلومات تؤدي الغرض ا | Scientific progress is rapid and widespread Informatics web mail to various information which became accumulate dramatically, leading to try to find how tend to tab and this huge amount of data bases for information leading to the desired purpose. Work the term data mining (DM) is appropriate in this area and because of this importance of this research was to try to use data mining algorithms with the search in the accompanying circumstances. And a summary of research supports access to information and knowledge discovery through the use of techniques for data mining (DM) and also touched on the stages of exploration process of data passing through the stage of data processing and even the testing phase (F_test) to measure the case of variation or variation in the data when you reach a level of fitness (Optional). The results of the tests can be observed when changing the sample size (n) as well as the size of clusters (k) , and this leads to variation in the laboratory value (F) and in each case and her envelope. Cluster analysis of the data has spawned tests , The algorithm (K - Means) is the best , Comparing with (Single Linkage) and (Complete Linkage) algorithms A position to achieve the research hypotheses under the values shown in the tables , through calculable scale test (F_test) as well as the scale (MSE) , according to the results of experiments testing of samples sizes (n) and the size of the clusters (k) applied to the variables (v) Search.

استعمال البرمجة الديناميكية العشوائية في تخطيط الانتاج مع تطبيق في شركة مصافي الوسط == Using Random Dynamic Programming In Production Planning With Application In The Midland Refineries Company

Author name: محمد كاظم هواش
Supervisor name: خالد ضاري عباس الطائي
General topic: Administration and Economics
Specific topic: Operations Research
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: يتضمن البحث بناء انموذج برمجة خطية,ويحل بواسطة البرمجة الديناميكية لايجاد قيم متغيرات القرار وقيمة دالة الهدف.وقد تم بناء الانموذج باستخدام بيانات ثلاثة مصافي في شركة مصافي الوسط وهي (مصفى الدورة ,مصفى السماوة ,ومصفى النجف),وباعتبار ان كميات الطلب على كل | This research deals with Building A probabilistic Linear programming model representing ,the operation of production in the Middle Refinery Company (Dura , Semawa , Najaif ) Considering the demand of product (Gasoline , Kerosene ,Gas Oil , Fuel Oil ).are random variables ,follows certain probability distribution , which are testing using Statistical programme (Easy fit), thes distribution are found to be Cauchy distribution ,Erlang distribution ,Pareto distribution ,Normal distribution ,and General Extreme value distribution. The Built programme is transformed in to deterministic one and then solved by using Dynamic Programming ( Backward procedure ) To find the Optimal values of Descion variables and Optimal value of Objective Function. All the results are explained in tables, we work on using Dynamic programming according to the Rule of Richard Bellman for Optimality ,which depend on sub divide the Big problem ,in to sub problem ther is an Optimal Solutions ,then thes Solutions are Optimize to reach the final Optimal Solution, The Show all results included a private thesis in a special tables

بناء نموذج رياضي خطي لشبكة توزيع المنتجات النفطية في العراق == Establishing A Mathematical Model of Integrated Industrial System

Author name: محمد سعد ابراهيم
Supervisor name: فاتن فاروق صالح البدري
General topic: Administration and Economics
Specific topic: Operations Research
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: ان عملية صنع القرار عند وجود معايير متعددة تعد من المواضيع المهمة والسائدة في مجال بحوث العمليات والاقتصاد والهندسة والادارة وفي كثير من المجالات الاخرى اذ تتميز فكرة المعايير المتعددة بدلا من الاحادية بانها ”الامثل“ وهي ايضا تمثل مفهوما بديلا عن الام | Multiple Criteria Decision Making is one of the important and dominate subjects in the field of operations research, economics, engineering and management and in many different fields where the notion of multiple criteria rather than single criteria is characterized as the “optimal” and it also represents an alternative concept of traditional optimality because of due to the importance of this subject the goal of this study was to Establishing A Mathematical Model of Integrated Industrial System through the use of Multiple Criteria Decision Making approaches where the real problems is often constrained and needs a formula to find an optimal solution which depends on trade - offs for the evaluation of the best criteria and since the trade - offs are not existent among the single criteria this study basically depended on the multiple criteria concept which included eight concepts of optimality, fuzzy multi objective optimality, multi objective optimality with fuzzy constraints, solving non - fuzzy multi objective optimality, fuzzy goal and fuzzy constraint programming, tow phase approach for solving problem and goal programming with achievement functions. Because of the importance of white oil products (Benzene, Gas oil, Kerosene) in every day life and the continuous and increasing demand for it a mathematical model for system of the distribution of oil products network has been built to achievement two goals first is to minimize the cost transportation oil products through pipelines dedicated for transportation these products and second to minimize the shortage in the refineries to the maximum rate to respond the demand of oil products of all the governorates of the country where these objectives are subject to the constraints related to the amounts of demand for each governorates products energies of refineries, transportation energies, designable pipes energies and implicit constraints and this model was solved by using the ready made program (WinQSB - 98) respective of operations research models

التقدير المتسق لمعلمة ميل انموذج الانحدار الخطي البسيط المتاثر بخطا القياس للمتغير التوضيحي مع تطبيق في المجال الصحي

Author name: ماهر محسن سلمان
Supervisor name: دجلة ابراهيم مهدي العزاوي
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: تعد طريقة المربعات الصغرى الاعتيادية (OLS) من افضل طرائق تقدير معلمات انموذج الانحدار الخطي وان هذه الطريقة تتصف مقدراتها بصفتي عدم التحيز والاتساق وهذه من صفات المقدر الجيد , الا ان مقدر طريقة المربعات الصغرى يصبح متحيز وغير متسق اذا كان المتغير ال | Ordinary Lease Square (OLS) is the way of the best methods of Parameter estimating of Linear Regression Model , that’s where this method is characterized by unbiased and consistency , and these qualities of good estimator , but (OLS) estimator becomes biased and inconsistent if Explanatory variable contains measurement errors , and the study has been of two consistent estimators, were taking into consideration the presence of measurement errors and they are : reliability ratio method and this way corrects the biasing in (OLS) estimator and makes the estimator consistent , and the other way is : instrumental variable method ; and this way gives consistent estimator and contributes to support the explanatory variable through the addition of an external variable T ,and the instrumental variable must be correlate in a strong relationship with explanatory variable ,also has been showed the additional information's necessary to the alternative estimator to the (OLS). above methods have been applied by using of simulation style of the software MatLab as measurement of errors takes three distributions and they are : normal distribution , standard normal distribution and Uniform distribution by using three sizes of samples (100 , 50 , 20 ) the result showed that reliability ratio estimator method is the best estimator ; regardless of the size of the sample and the distribution of the errors measurement , and this finding corresponds to the findings of researchers , and on this basis has been applied Reliability ratio estimator method on the medical data obtained from patients have fallen asleep in the department of artificial kidney in (Yarmouk) hospital in Baghdad. that's where the level of Urea in the blood is dependent variable , two readings of blood pressure were taking for each patient ,which represent the average is instrumental variable , the purpose of taking blood pressure for each patient in order to estimate the variance of measurement errors ,also has been taken third blood pressure reading by using dialysis machine to represent instrumental variable , has been reached that the ratio of reliability for blood pressure measuring ranging between ( 0.80 - 0.85 (

مقارنة بعض طرائق تقدير دالة المعولية الضبابية == Compared To Some of The Methods of Estimating Fuzzy Reliability Function

Author name: ليث فاضل سيد حسين النعيمي
Supervisor name: انتصار عريبي فدعم الدوري
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: عند احتساب اوقات الفشل للمكائن والمعدات نلاحظ بانها تكون غير مؤكدة او ضبابية في اغلب الاحيان وعلى اساس المركبة او النظام لهذا تناولت هذه الرسالة تقدير دالة المعولية الضبابية في حالة المركبة والانظمة المفردة (المتسلسلة والمتوازية) وباستعمال ثلاث طرائق هي : | When calculating the failure times of the machines and equipment note that it is fuzzy or uncertain in more often on the basis of the component or system to this paper this estimate fuzzy reliability function in the component case and series and parallel system by using three methods are : First, the conventional method : Under this method has been used the failure function and a new membership function of beta type be more flexible in statistical applications, according to this method was derived estimators fuzzy reliability function for series and parallel systems. Second, The number fuzzy method (A ) ?(i - v) level (1 - ?, 1 - ?) based on the confidence limits : one of the methods in which based on in estimation on the mean and standard deviation of the times of the failure of the machinery and equipment and give fuzzy reliability function estimate both serial and parallel systems confidence limits are to be used to fuzzy numbers two levels (1 - ?, 1 - ?).Third, the Signed distance method : good methods that give estimating fuzzy reliability function for both systems are similar to estimate the point.That the methods above give estimate reliability Blur function for both systems was a comparison between the advantage of these capabilities and employ the style of simulation manner Monte Carlo (Monte - Carlo) by writing software language application (Matlab) and the experiences and sizes of different samples and both systems were relying on mean square error (MSE) of the comparison between the estimation methods Vtm reach a predestined way normal preference, showing through the mean square error (MSE) that showed a nuance in between estimator ways : how many The number fuzzy method (A ) ?(i - v) level (1 - ?, 1 - ?) and the way the Signed distance method of the fact that the way The number fuzzy method (A ) ?(i - v) level (1 - ?, 1 - ?) based at its sole discretion to Tabulated values of the distribution (t) and that way the distance indicator based on the indicators way above, for this from the perspective of the researcher, all estimation methods are considered good and can be used in the approved equipment and machinery in their production productive companies.In the practical side researcher has used real data for the purpose of estimating reliability function of the system and fuzzy sequential function reliability of the system parallel Blur, adopted by the General Company for Electrical Industries of the Ministry of Industry and Minerals in Baghdad records.

تحليل التباين المركب لمجموعة تجارب متشابهة في القطاع الزراعي == Combind Analysis of Variance For Similar Experiments Group In The Agricultural Sector

Author name: كاظم يحيى عبد الحسين
Supervisor name: كمال علوان خلف المشهداني
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: the interaction (treatments X locations , treatments X years , 1. In the statistical sight, the aim is to test the significance of of this method of analysis is : in more than one location and in more than one year too. The aimreplicated in more than one location or period (year) or replicated sector. It means making analysis of variance for experiments that important in different sides of the life, specially in the agricultural The combined analysis of variance method is regarded as a verytreatments X locations X years ). plot experiment that conducted by (CRD , LSD) expanding by the researcher the case of (CRD , LSD) and Split - (RCBD , and Split - plot by RCBD), The study also include The combined analysis of variance was studied for the designsmost suitable environment conditions. true decision that represented by planting the type in the (included locations and agricultural seasons) , then making a many types of a pointed plant for environment conditions2. In agricultural sight , the aim is to test the suitability of experiment increase. that appeared as the value of decrease, the accuracy of the ,one for LSD and the other for Split - plot using LSD. The results using simulation manner and writing two programs for this aimconducted by LSD and by Split - plot using LSD , that led to Because of there is no available data for actually experiments appeared the significant effects.means of the factors and for the means of the interactions that them, the multiple comparisons were done (using Lsd) for the for the significance of the factors and for the interactions between A different results were appeared from experiment to anotherwas done by using Genstat program. homogeneity of variances using statgraph program, the analysis conducted by RCBD, and then after making Bartlett test for conducted by RCBD and another experiments by Split - plot In applications we have got the data of actually experiments

مقارنة طرائق تقدير معالم انموذج ويبل للفشل بثلاثة معالم == Comparing Estimation Methods of Weibull Failure Models With Three Parameters

Author name: فراس صدام عبد الهلالي
Supervisor name: صباح هادي عبود الجاسم
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: لقد كان الاهتمام الواسع والمتزايد بدراسة موضوع المعولية، يعود الى التطور التكنولوجي والتقني السريع واستخدام الانظمة الالكترونية المعقدة في مختلف المجالات.وعلى هذا الاساس فان دراسة موضوع المعولية والربط بين الجانبين النظري والتطبيقي امر له اهمية كبيرة، | The rapid and wide significance of the theoretical and practical aspects of reliability is due to the technical and technological advance in using the various intricate electronic systems. In this regard, it is important to study the theoretical and practical sides of reliability and their interrelationship since it is an indication to the proficiency and capability of the system component without deficiencies for a long time. This will lead us to evaluate the operation of the system component for improving and increasing the quantity and quality of these systems in addition to its role in the development of the engineering system.The wiebull distribution is used, as a model for failure since this distribution is proper when the failure rates somewhat high in starting operation. These rates will be decreased with increasing time. Thus, the study deals with the comparison between estimating parameter and reliability function of the three parameters Weibull Distribution as a model for failure. Different Approaches have been used to carry out the research these include : 1. Classical approachesa. Maximum likelihood method. b. Moment method.2. Baysian approachesa. Bayes method.b. Shrinkage method.Comparison was made between the methods of estimation by employing simulation using Monte - Carlo method using the statistical measures (MSE) and (MAPE) to identify the priority of these estimators for different sample sizes. The study is divided into four chapters, Chapter one deals with the theoretical Background of the topic, including the concepts of reliability. Chapter two is a review of the different estimation methods and aspect s of reliability. Chapter three is devoted the practical side of this research and results analysis. Chapter four reveals the conclusions, findings and the recommendations of the study

نموذج القياسات المتكررة المتعدد المتغيرات ذو الاتجاه الواحد والاختبار الكروي == One - Way Multivariate Repeated Measurements Model And Sphericity Test

Author name: فاطمة هاشم فلحي نور
Supervisor name: عبد الحسين صبر المويل
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: Repeated Measurement model is one of the most models widely used in field of Experimental Design especially in Agricultural Researches, Biomedical and Epidemiology that is involving in this field. This thesis is devoted to the study of One - Way Multivariate repeated measurement model. Three aspects of work are considered : The first aspect : we consider the multivariate repeated measurements analysis of variance ( MRM ANOVA ) model for complete data.The multivariate repeated measurements generalize repeated measurements in the sense that it allows a vector ofobservations at each measurement; we will consider the case of multivariate response variables. The terminology we use for the various MRM designs in this aspect is a one - way MRM ANOVA refers to the situation with only one within - units factor , which welabel as "Time" for convenience while we label as "Group" for between - units factor. For such model, the observations are transformed by an orthogonal matrix. The ANOVA which is based on the first set of transformed observations provides the ANOVA for the between - units factor effects, while ANOVA which is based on the th k set of transformed observations, for each k=2,3,…,p provides the ANOVA for within - units effect. The problem of the testing hypothesis of multivariate repeated measurements ANOVA model for complete data are studied in this aspect. The test statistics of various hypotheses on between - units factor, within - units factor, and interaction between.The second aspect : we study the sphericity test for one - way MRM ANOVA model.Also we obtain the likelihood ratio criterion and the th h Moment of this criteria. As well as the asymptotic expansion and limiting distribution of its test, statistics are obtained. These aspects are represented in the second chapter of this thesis.The third aspect : we applied the one - way MRM ANOVA model for the chemistry experiment data in order to investigates the possibility of environment pollution in the water of Shatt ALBasrah Khor AL - Zubair.Also we obtain the likelihood ratio criteria from the variance - covariance matrix which is obtain after transformed observations by using orthogonal matrix. The result have shown that is MRM is a best used because it care with the correlation between observations in the model. In addition, we have shown through likelihood ratio criterion is satisfying the spherical hypothesis in the theory aspect with practice aspect which is represented in third chapter of this thesis.

تقديرات معلمات انموذج الانحدار متعدد العوامل - متعدد الحدود من الدرجة الثانية مع تطبيق عملي == Estimations Parameters Multi - Factor - A Polynomial of The Second Degree Regression With Practical Application

Author name: غيث عبد الشهيد كاظم السلطاني
Supervisor name: احمد ذياب احمد العزاوي
General topic: Administration and Economics
Specific topic: Statistics
Degree: Master
University: University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language: Arabic
University location: Baghdad
First pages:
Abstract: في انماذج الانحدار تكون عادة العلاقة بين المتغير المعتمد ( ) والمتغير المستقل ( ) او المتغيرات المستقلة ( ) خطية وفي انماذج اخرى تكون لا خطية. وان انموذج الانحدار المتعدد العوامل - المتعدد الحدود من الدرجة الثانية من النماذج اللاخطية والتي يمكن من خلاله ا | Regression models for the relationship between the dependent variable (Y) and the independent variable (X) or independent variables (X’s) which are linear or nonlinear. And multiple regression model factors - Multi - border second class of nonlinear models that can get through the estimators of its parameters. In our research was one of the hypotheses regression unrealized, which is that the random error distribution was the distribution of non - identical (Generalized logistic distribution) which led to the use of more accurate methods than the ordinary methods , such as method of robust Laplace and modified maximum likelihood to obtain a estimates of multiple regression parameters factors - multiple modalities border from the second division. On the theoretical side of this research it was addressed to display some specimen multi - factor regression parameters estimates formats - Multi - border quadratic using ordinary least squares method and the method of the modified maximum likelihood and robust Laplace. In the Experimental side it has been the work of experiments using simulation and comparison of these experiments was the use of the index statistical mean square error of the parameters for the model, and through comparison between the methods show that the modified maximum likelihood was the best. As the best values for my shape parameter and scale parameter (b=1,?=1 ) and each sample sizes (n = 20,50.100). As it has been the application of the modified maximum likelihood to real data represent the fact that your natural hormone insulin diabetes depending on the enzyme GOT data, and the GPT enzyme and hormone Hbalc.It was reached to increase the hormone Hbalc lead to a decrease in the hormone's natural insulin diabetes and this leads to an increase in blood sugar, and increase the enzyme GOT and GPT enzyme leads to increased natural hormone insulin.
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