Term of Award

Fall 2011

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Department

Department of Mathematical Sciences

Committee Chair

Broderick O. Oluyede

Committee Member 1

Charles Champ

Committee Member 2

Hani Samawi

Committee Member 3

n/a

Abstract

A new class of weighted generalized gamma distribution and related distributions are presented. Theoretical properties of the generalized gamma model, weighted generalized gamma distribution including the hazard function, reverse hazard function, moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, Fisher information and entropy measures are derived. Estimation of the parameters of the weighted generalized gamma distribution via maximum likelihood estimation and method of moment estimation techniques are presented, as well as a test for the detection of length-biasedness in the generalized gamma model. Also presented are some useful transformations of the weighted generalized gamma distributed random variable.

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