On the characterization of exponential and uniform distributions
Other Title(s)
حول تحديد خصائص التوزيع التوزيع الأسي و المنتظم
Dissertant
Thesis advisor
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2009
English Abstract
We use the spacings of adjacent order statistics in some distributions to write their distributions in closed form.
So we study the distributions of spacings of order statistics both when the distribution of the random sample has support of the form [a, b] or of the form (-00, +00).
We also present the distributions and some properties of the spacings of the exponential and uniform order statistics.
We explain the proof of theorems of these spacings which are transformations of some beta distribution in the case of sampling from a uniform population.
We also discuss relations between these spacings in the exponential and uniform cases and we explain their proof.
Main Subjects
No. of Pages
72
Table of Contents
Contents.
Abstract.
Chapter one : Random variables.
Chapter two : Exponential family and beta distribution.
Chapter three : The spacings of order statistics.
Chapter 4 : The spacings of exponential order statistics.
Chapter 5 : The spacings of uniform order statistic.
American Psychological Association (APA)
Abu Sharikh, Fadi M.. (2009). On the characterization of exponential and uniform distributions. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-300248
Modern Language Association (MLA)
Abu Sharikh, Fadi M.. On the characterization of exponential and uniform distributions. (Master's theses Theses and Dissertations Master). Islamic University. (2009).
https://search.emarefa.net/detail/BIM-300248
American Medical Association (AMA)
Abu Sharikh, Fadi M.. (2009). On the characterization of exponential and uniform distributions. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-300248
Language
English
Data Type
Arab Theses
Record ID
BIM-300248
