Document Details

Document Type : Thesis 
Document Title :
Some Contributions to the Study of Order Statistics for Independent and Nonidentically Distributed Random Variables
بعض الإضافات إلى توزيعات الإحصاءات المرتبة لمتغيرات عشوائية مستقلة وغير متطابقة التوزيع
 
Subject : Mathematical Statistics 
Document Language : Arabic 
Abstract : Order statistics for independent nonidentically distributed random variables (inid) is widely discussed in literature, especially, calculations of the moments for these statistics. Therefore, our aim of this thesis is to provide some contributions to their moments for continuous distributions not studied before such as three parameters Beta type I distribution , Erlang Truncated Exponential distribution, Exponentiated Frechet distribution and family of distributions. Also this thesis surveys the best methods available to be used in this context. We introdused a method of finding a single moment; which is the moment generating function technique and applied it to Exponential and Erlang truncated Exponential distributions. It facilitated the calculations of moments of inid from Burr type II distribution. The L-moments and also Trimmed L-moments were obtained for distributions under study for the (inid) case. Also we intentionally used approximation in the case of presence of an outlier that follows either the normal or gamma distribution in a sample of (inid) from Burr XII distribution approximating gamma and normal by Burr XII distribution. We studied also a new distribution that is the Sine square distribution where we found order statistics for this distribution and moments for these statistics in case of (iid) or (inid). Finally, we studied the subject of (inid) discrete random variables, in terms of finding the moments and applied it on some discrete distributions like Geometric, Binomial and Poisson. 
Supervisor : . Aamna Abdulatif Salah Jamjoom 
Thesis Type : Master Thesis 
Publishing Year : 1433 AH
2012 AD 
Number Of Pages : 187 
Added Date : Monday, September 30, 2013 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
زكية عامر الصيعريAl-Saiary, Zakeia AmerInvestigatorDoctorate 

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