Bayesian inference on finite mixtures of Poisson distributions
Dissertant
Thesis advisor
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2015
English Abstract
Mixed Poisson distributions are widely used in various disciplines to model data in which each observation is assumed to come from one of a number of Poisson distributions with di erent parameters.
In this thesis, we investigate the Bayesian estimation for the nite Poisson mixture model using the Gibbs sampler as an important one of the MCMC methods.
Our approach in this thesis depends on using the Gibbs sampler to simulate a Markov chain which has the posterior density as its stationary distribution.
Then we use the resulting sample to make the suitable Bayesian computations and draw conclusion about the unknown parameters of the Poisson mixture model.
We conclude this thesis by presenting a real data example to illustrate our methodology.
Main Subjects
No. of Pages
92
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Introduction to bayesian statistics.
Chapter Two : Finite mixture of distributions.
Chapter Three : Markov chains.
Chapter Four : Markov chain monte carlo methods.
Chapter Five : Bayesian analysis of finite poisson mixtures.
Conclusion.
References.
American Psychological Association (APA)
Abu Hamdah, Dua F.. (2015). Bayesian inference on finite mixtures of Poisson distributions. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-724343
Modern Language Association (MLA)
Abu Hamdah, Dua F.. Bayesian inference on finite mixtures of Poisson distributions. (Master's theses Theses and Dissertations Master). Islamic University. (2015).
https://search.emarefa.net/detail/BIM-724343
American Medical Association (AMA)
Abu Hamdah, Dua F.. (2015). Bayesian inference on finite mixtures of Poisson distributions. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-724343
Language
English
Data Type
Arab Theses
Record ID
BIM-724343
