مقارنة طرائق تقدير دالة البقاء لتوزيع لوماكس باستخدام عينات مراقبة من النوع الثاني
Author name:
حلا سلمان فرحان
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:
07T3567 - p.pdf
Abstract:
في هذه الرسالة تم تقدير دالة البقاء لتوزيع لوماكس اخذين بنظر الاعتبار وجود عينات مراقبة((Censored Data من النوع الثاني في حالة توافر معلومات اولية عن المعلمات بشكل دالة احتمالية اولية مشتركة لكل من معلمتي الشكل والقياس,حيث تم افتراضها حسب اسلوب الباحث(Jef | In this study have been estimated the survival function to Lomax distribution considering there was censored data (second Type) just in case if a primitive information were available about the indications as mutual primitive probability function for both : indications form & measure which assumed in order to method of the searcher (Jeffry) and also squared error loss function). So measured estimated pez S*(t) for survival function S (t) is the conditional expectation function S*(t) =E[S (t)/X].It has been used approximated methods to measure them because It is hard : to measure the complementary of numerator and denominator in a mathematics form by using Bayes method. One of these methods is the method of the searcher ( Lindley) while the other method was return to ( Tierrney and Kadon).In addition to methods formerly to estimate the survival function; the searcher has used the Shrinkage method. While she used the maximum likelihood method as a usual method for those which did not depend on the primitive information because the estimated thing had fixed quality.So, all this to make the comparison between these methods and the oldest one through simulation style by Mont - Carlo to get new estimation which carried the wanted qualities in the perfect estimated to get specific results : to choose the suitable estimation method.The searcher hade made the bayes (lomax distribution survival function) as the lindley manner was the best among the other manners to estimate lomax distribution survival function ,on general ;while the manner of the maximum likelihood method was the best manner among to other estimated manners for tiny simple size on private.
