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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
:
Sciences Faculty for Girls - Department of Mathematics
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
:
dr.Amna Abdullatif Jamjoom
Thesis Type
:
Doctorate Thesis
Publishing Year
:
1433 AH
2012 AD
Added Date
:
Sunday, September 9, 2012
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
زكية عامر الصيعري
Al Saiary, Zakeia Amer
Researcher
Doctorate
Files
File Name
Type
Description
34144.pdf
pdf
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