Using simulation to study the sampling distribution of some well known statistics
Dissertant
Thesis advisor
Comitee Members
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2004
English Abstract
The focus of this study is to use the probabilistic and the bootstrap simulation methods to investigate graphically, computationally and analytically the three main characteristics: location, spread and the shape of the sampling distribution of the three well known sample statistics : the sample mean, the sample median, and the 36 sample variance by varying the sample size and distribution of the underlying population.
The simulated results of this study can be summarized as follows : a) The sampling distribution of the sample mean, the sample median and the sample variance can be approximated by a normal distribution, with a very small bias, provided the sample size is large.
However, for small sample size, the normality of the sampling distribution of these statistics depends strongly on the underlying population distribution.
The simulated results have showed that the sample mean is less variance than the sample median. b) The graphical and analytical simulated results indicated that the shape of the sampling distribution of the statistics is approximately chi-square with n-1 degrees of freedom for small sample size and the underlying distribution is normal.
Not symmetric for small degrees of freedom. c) The simulated results showed that the sample mean and the sample variance are not correlated when the underlying population distributions are uniform or normal ; however, the simulated 37 results showed that these statistics are correlated in the exponential case.
Main Subjects
Topics
No. of Pages
97
Table of Contents
Table of contents.
Abstract.
Chapter one : Introduction.
Chapter two : Literature review.
Chapter three : Simulation procedure and results.
Chapter four : Conclusion and recommendation.
References.
American Psychological Association (APA)
Rammahah, Huda Ibrahim. (2004). Using simulation to study the sampling distribution of some well known statistics. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-302107
Modern Language Association (MLA)
Rammahah, Huda Ibrahim. Using simulation to study the sampling distribution of some well known statistics. (Master's theses Theses and Dissertations Master). Birzeit University. (2004).
https://search.emarefa.net/detail/BIM-302107
American Medical Association (AMA)
Rammahah, Huda Ibrahim. (2004). Using simulation to study the sampling distribution of some well known statistics. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-302107
Language
English
Data Type
Arab Theses
Record ID
BIM-302107
