Generalization and classes of probability distributions
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.
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- SIMC 2019 [99]