مقارنة مقدرات بيز الحصين مع مقدرات اخرى لتقدير دالة المعولية التقريبية لتوزيع ويبل == A Comparison of Robust Bayesian Estimators With Another Estimators To Estimate The Approximation of Reliability Function For Weibull Distribution
Author name:
تهاني مهدي عباس الياسري
Supervisor name:
مهدي محسن اسماعيل العلاق
General topic:
Administration and Economics
Specific topic:
Statistics
Degree:
Doctorate
University:
University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language:
Arabic
University location:
Baghdad
First pages:
07T3506 - p.pdf
Abstract:
من الملاحظ ان معظم البحوث والدراسات في مجال الاحصاء ولاسيما في حقل المعولية تهدف الى الحصول على مقدرات ذات مستوى عال من الكفاءة. لاسيما عندما تكون بيانات العينة قيد الدراسة ملوثة. او في حالة عدم التحديد الدقيق للمعلومات المسبقة او في حالة ظهور الحالتين م | It is noticed that most of the researches and studies in the field of statistics particularly in the field of reliability aiming to obtain estimators of very high standard of competency specially when the sample data under study is contaminated, or in the case of not determining accurately the previous information or in case both cases appear together. From here came the objective of the thesis to come to competent estimators of the approximate reliability of Weibull distribution which is considered one of the common failure models. Through studying the ordinary procedures represented in the maximum likelihood method and method of moments and white’s method as well as the ordinary robust methods represented by the method of M - estimate and bayes procedure as well. Therefore bayes procedure was suggested depending on natural conjugate prior function in addition to suggesting three methods according to robust bayes procedure where the first suggested procedure of robust bayes assumed that there is an extent of belief and to a certain percentage with the researcher (the percentage of the researcher falling into mistake in determining the primary information) where the accurate determination of the primary information has already been made which will be integrated with the sample prospects to obtain bayes estimater As to the second suggested procedure of the robust bayes it treated the problem of the sample prospects contamination or the primary information. Whereas the third robust bayes procedure suggestion had treated the problem of appearance of both problems together - that is inaccuracy in determining the primary information and the possibility of contamination to the sample views or the primary views as well, found a comparison between the studied evaluation methods by using the simulation procedure. It has been arrived to the success of the suggested methods in evaluating the approximate reliability of Weibull distribution depending on the two statistical scales (Integral Mean Square Error) (IMSE) and the (Integral Mean Absolute Percentage Error) (IMAPE).
