Using Bernstein expansion in finding the optimum stratum boundaries depending on proportional allocation
Other Title(s)
استخذام امتذاد بيرنشتاين لإيجاد الحدود الطبقية المثلى اعتماداً على التخصيص النسبي
Dissertant
Thesis advisor
Comitee Members
al-Rawi, Ziyad S.
Kittanah, Hilmi F.
Abu Salim, Ahmad Mahmud
University
Al albayt University
Faculty
Faculty of Sciences
Department
Department of Mathematics
University Country
Jordan
Degree
Master
Degree Date
2010
Arabic Abstract
لقد تم في هذه الرسالة اقتراح طريقة تقريبية جديدة لإيجاد الحدود الطبقية المثلى اعتمادا على التخصيص النسبي.
تتلخص هذه الطريقة في تقريب اقتران الكثافة الاحتمالية باستخدام امتداد بيرنشتاين لإيجاد الصيغة العامة للحدود الطبقية.
و تم تطبيق هذه الطريقة على ثلاث توزيعات احتمالية هي التوزيع المنتظم، توزيع بيتا و توزيع كاما.
كما تم مقارنة قيم تباين المتوسط الطبقي للطريقة المضبوطة و التقريبيه Cum.
F 5 / 6 و الطريقة التقريبية المقترحة.
English Abstract
In this thesis, a new approximate method has been suggested to find out the optimum stratum boundaries depending on proportional allocation.
This method can be summarized by expanding the probability density function using Bernstein expansion to find out the stratum boundaries.
It is applied to three distributions : Uniform, Beta and Gamma distributions.
A comparison is made between the values of the variance of stratified sample mean for the exact method, the 5 Cum.
f 6 methods and the suggested approximated method.
Main Subjects
Topics
No. of Pages
219
Table of Contents
Abstract.
Table of contents.
Introduction.
Chapter One : stratified random sampling.
Chapter Two : methods of choosing the stratum boundaries.
Chapter Three : comparisons and conclusions.
References.
American Psychological Association (APA)
al-Zughul, Muhammad Musa. (2010). Using Bernstein expansion in finding the optimum stratum boundaries depending on proportional allocation. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302958
Modern Language Association (MLA)
al-Zughul, Muhammad Musa. Using Bernstein expansion in finding the optimum stratum boundaries depending on proportional allocation. (Master's theses Theses and Dissertations Master). Al albayt University. (2010).
https://search.emarefa.net/detail/BIM-302958
American Medical Association (AMA)
al-Zughul, Muhammad Musa. (2010). Using Bernstein expansion in finding the optimum stratum boundaries depending on proportional allocation. (Master's theses Theses and Dissertations Master). Al albayt University, Jordan
https://search.emarefa.net/detail/BIM-302958
Language
English
Data Type
Arab Theses
Record ID
BIM-302958
