Bayesian inference on finite mixtures of exponential distributions

مقدم أطروحة جامعية

Salih, Ahlam M.

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

2016

الملخص الإنجليزي

Mixed distributions are widely used to model data in which each observation is assumed to come from one of a number of di erent groups.

In this thesis, we investigate the Bayesian estimation for the nite exponential 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 long-run (stationary) distribution.

Then we use the resulting sample to make the suitable Bayesian computations and draw conclusion about the unknown parameters of the exponential mixture model.

We conclude this thesis by presenting a real data example to illustrates our methodology.

التخصصات الرئيسية

الرياضيات

عدد الصفحات

89

قائمة المحتويات

Table of contents.

Abstract.

Introduction.

Chapter One : Introduction to bayesian statistics.

Chapter Two : Finite mixtures of distributions.

Chapter Three : MCMC methods in bayesian Inference.

Chapter Four : Bayesian analysis of finite exponential mixtures.

References.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Salih, Ahlam M.. (2016). Bayesian inference on finite mixtures of exponential distributions. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-724332

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Salih, Ahlam M.. Bayesian inference on finite mixtures of exponential distributions. (Master's theses Theses and Dissertations Master). Islamic University. (2016).
https://search.emarefa.net/detail/BIM-724332

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Salih, Ahlam M.. (2016). Bayesian inference on finite mixtures of exponential distributions. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-724332

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-724332