Term of Award
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Department of Mathematical Sciences
Broderick O. Oluyede
Committee Member 1
Committee Member 2
In this thesis, some fundamental results on the weighted and parent FellerPareto and related distributions are presented. Moments, measures of uncertainty including Shannon and s-entropies are presented. Some applications are given. We also introduce the Kumaraswamy distribution and the class of generalized Pareto distributions, and presents results on a more ﬂexible and generalized class of distributions called the Kumaraswamy generalized Pareto class of distributions. Pareto type distributions are ﬂexible parametric models with applications in reliability, actuarial science, economics, ﬁnance and telecommunications. We study some mathematical and statistical properties of the Kumaraswamy generalized Pareto distribution including the hazard function, reverse hazard function and moments with particular emphasis on the class of generalized Pareto sub-models.
Odubote, Oluseyi, "Weighted Feller-Pareto, Kumasrawamy-Generalized Pareto and Related Distributions" (2013). Electronic Theses & Dissertations. 810.