Term of Award

Summer 2013

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

Abstract

In this thesis, a new class of distributions called the Dagum-Weibull family of distributions is constructed via the \Transform-Transformer" principle. This class of distributions turns out to be a weighted distribution with weights obtained via hazard functions. The class of Dagum-Weibull distributions contains several submodels such as length-biased Dagum-Weibull (LBDW), proportional hazard moment DagumWeibull (PHMDW), Dagum-Weibull (DW), and Dagum distributions as special cases. Some fundamental results on the weighted, parent Dagum-Weibull and related distributions are presented. Probability weighted moments and the resulting weighted distributions are constructed and studied. Inequality measures, entropy, and Fisher information are derived. Estimates of model parameters are obtained and some applications as well as numerical examples are given.

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