Bayesian inference on finite mixtures of Poisson distributions

مقدم أطروحة جامعية

Abu Hamdah, Dua F.

مشرف أطروحة جامعية

Rifi, Muhammad I.

الجامعة

الجامعة الإسلامية

الكلية

كلية العلوم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

فلسطين (قطاع غزة)

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2015

الملخص الإنجليزي

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.

التخصصات الرئيسية

الرياضيات

عدد الصفحات

92

قائمة المحتويات

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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-724343