Generalization and classes of probability distributions
Date
2019
Authors
Omukami, Howard
Ottieno, Jarn
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
Highlights of various methods for constructing probability distributions are given. The
distributions are based on : power series, transformations, mixtures, sums of independent
random variables, recursive relations, differential equations, geometry, generators, lifetime,
special functions and weighted functions . Distributions arising from stochastic
processes are also discussed. Some of the distributions are generalizations of other
distributions while others form classes. In this paper we shall present work done on
constructions, properties, estimations and applications of these distributions in the
School of Mathematics University of Nairobi.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Generalizations, class of distributions, Recursive relations