Date of Award

2010

Degree Name

Mathematics

College

Graduate School of Education and Professional Development

Type of Degree

M.A.

Document Type

Thesis

First Advisor

Alfred Akinsete

Second Advisor

Basant Karna

Third Advisor

Yulia Dementieva

Abstract

In this work we considered a general class of distributions gener- ated from the logit of the beta random variable. We looked at various works that have been done and discussed some of the results that were obtained. Special cases of this class include the beta-normal distribution, the beta-exponential distribution, the beta-Gumbell distribution, the beta-Weibull distribution, the beta-Pareto distribution and the beta-Rayleigh distribution. We looked at the probability distribution functions of each of these distributions and also look at some of their properties. Another special case of this family, a three-parameter beta-Maxwell distribution was dened and studied. Various properties of the distribution were also discussed. The method of maximum likelihood was proposed to estimate the parameters of the distribution.