الطرائق البيزية والتقليدية في تقدير معلمات بعض نماذج بواسون غير المتجانسة مع تطبيق عملي : بحث مقارن == Bayesian And Ordinary Methods For Estimating Parameters of Some Non - Homogeneous Poisson Models With Practical Application Comparative Research
Author name:
ايات صادق جعفر
Supervisor name:
ايمان حسن احمد
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:
07T3445 - p.pdf
Abstract:
تعد عمليات بواسون غير المتجانسة احدى الموضوعات الاحصائية التي اصبح لها اهمية في جميع العلوم ولها تطبيقات واسعة في مختلف المجالات كنظرية صفوف الانتظار والانظمة القابلة للاصلاح وانظمة الحاسوب والاتصالات ونظرية المعولية وغيرها، كما تستعمل عمليات بواسون غير | The Non - Homogeneous Poisson process considered one of the statistical subjects which had an importance in other sciences and had a large application in different areas as the theory of waiting raws rectifiable systems, computer and communication systems and the theory of reliability and many other, also it used in modeling the phenomenon that occurred by unfixed way over time (all events that changed by time).This thesis deals with some of the basic concepts that are related to the Non - Homogeneous Poisson process, also this research mentioned two models of the Non - Homogeneous Poisson process which are the power law model , and Musa - okumto , also many different methods have been used in the estimating the parameters of the model , of which the classic methods would be used , maximum likelihood method and moment meethod to estimate the parameters of power law and Musa - Okumoto model , in addition to that the use of Bayesian method in the estimation of the parameters of the two models which are used in this research , in order to find the best way in the estimation , we referring to simulation manner in which we tested four size of samples ( 25, 50 , 75, 100) to illustrate the effect of changes in samples volume on parameters estimation , and for the sake of making a comparison between the used methods in estimation depend on the mean square error , and according to this results the maximum likelihood method is found to be the best and efficient way in estimation in which it gave the less mean square error, in addition to the models parameters by using this method was very close from the initial value that have been assumed to theparameters while the Bayesian method comes secondly in estimation Also this thesis included practical application dealing with the phenomena of earthquakes in Kirkuk province of which the time average was estimated by using maximum likelihood method and the Bayesian.
