Product and Quotient of Inverse Paralogistic Distribution Generated Based on Farlie-Gumbel-Morgenstern (FGM) Copula
Keywords:Inverse Paralogistic Distribution, Gauss Hypergeometric function, Products, Quotient of random variables
In this article, Inverse Paralogistic distribution based on Farlie-Gumbel-Morgenstern (FGM) copula is introduced. Derivations of exact distribution V = XY ,W = X/Y , and Z = X/(X + Y ) are obtained in closed form. Corresponding moment properties of these distributions are also derived. The expressions turn out to involve known special functions.
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