On Chtaracterization Of Some Mixtuer Probability Distribution / :

Zohdy Mohamed Nofal

There is no denying that over the past two decades there has been an increasing interest in characterization of well know discrete as well as continuous distributions mixture distributions and characterzation problems in general some excellent references ara e.g.patil 1965 Kotz 1974. Patil Kotz and Ord and others.In fact there have been significant developments in the last two decades of wayes and means of statistcal theory to characterize several discrete and or continuous probability distributions of interest in application.Various characterization have been obtained in terms of :- conditional expectations of function of order statistics.-conditional variance-independence of random variables and some ratios of them-relations among expected values of records-mean residual functions properties- Properties of renewal densities and compounded distribution-- Failure rate functions and reversed failure rate functions.-Mixtues of distribution.Several articals have been written using one of the above direction to characterize the exponential distribution the normal distribution the geometric the binomial and poisson distributions the pascal distribution the pareto distribution the inverse gaussion distribution and the weibull distributions among other distributionsيحتوى الفصل الأول على عرض لما جاء بالرسالة واهم النتائج بها وتوزيعها على الفصول الاخرى والفصل الثانى يحتوى على مسح تاريخى للعديد من نتائج التمييز المتعلقة بموضوع البحث والسابق نشرها قبل واثناء اعداد هذه الرسالة الفصل الثالث تتناول الرسالة بتمييز العديد من التوزيعات الإحتمالية المستمرة مثل توزيع جاما (B,A) وتوزيعا بيتا( A-B-C-M) وكذلك المتقطعة مثل بواسون وذى الحدين(M