Date of Award
Graduate School of Education and Professional Development
Type of Degree
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.
Amusan, Grace Ebunoluwa, "The Beta Maxwell Distribution" (2010). Theses, Dissertations and Capstones. Paper 5.