Beyesian statistical inference on mean residual life function
Other Title(s)
الاستدلال الإحصائي البايزي حول اقتران متوسط العمر المتبقي
Dissertant
Thesis advisor
Comitee Members
Salihah, Raid Bashir Ibrahim
Ahmad, Hazim Ismail al-Shaykh
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2016
English Abstract
The mean residual function is very important in survival analysis, where lifetime distributions that model the time to a particular event are studied.
This includes machine failure times, service and repair times, and event duration times, in general.
The mean residual function provides the expected remaining life of lifetime distributions given that the distribution has survived up to a certain time.
This function has important application in many fildes such as reliability, medical, and actuarial fildes.
It can be used to characterize distribution through the inversion formula.
Therfore, it can be used in fitting a model to the data.
In this thesis , we investigate the main properties of the mean residual functions and express it in terms of mathematical formulas for some lifetime distributions.
Then we use the Bayesian approach to performe statistical inference on the mean residual life function.
To do so, we use some common Markov Chain Mont Carlo methods for the simulation.
We also study Beyesiasn nonparametric inference for mean residual life functions obtained from a flexible mixture model for the corresponding survival distribution.
In particular, we develop Markov Chain Monte Carlo posterior simulation methods to fit anonparametric gamma Dirichelet process mixture model to two experimental groups.
To illustrate the practical utility of the nonparametric mixture model, we compare with an exponentiated Weibull model, aparametric survival distribution that allows various shapes for the mean residual life function.
Main Subjects
No. of Pages
88
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction to bayesian statistic.
Chapter Two : Properties of mean residual function.
Chapter Three : MCMC methods in bayesian inference.
Chapter Four : Beyesian inference on mean residual functions.
Chapter Five : Conclusions.
References.
American Psychological Association (APA)
al-Misri, Hibah Basim Yusuf. (2016). Beyesian statistical inference on mean residual life function. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-727155
Modern Language Association (MLA)
al-Misri, Hibah Basim Yusuf. Beyesian statistical inference on mean residual life function. (Master's theses Theses and Dissertations Master). Islamic University. (2016).
https://search.emarefa.net/detail/BIM-727155
American Medical Association (AMA)
al-Misri, Hibah Basim Yusuf. (2016). Beyesian statistical inference on mean residual life function. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-727155
Language
English
Data Type
Arab Theses
Record ID
BIM-727155
