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Product and Quotient of Inverse Paralogistic Distribution Generated Based on Farlie-Gumbel-Morgenstern (FGM) Copula

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Title: Product and Quotient of Inverse Paralogistic Distribution Generated Based on Farlie-Gumbel-Morgenstern (FGM) Copula

Authors: Marvin Pizon, Jayrold P. Arcede

Journal: Innovative journal of mathematics

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Year: 2022

Volume: 1

Issue: 3

Language: en

DOI: 10.55059/ijm.2022.1.3/41

Keywords: ProductsInverse Paralogistic DistributionGauss Hypergeometric functionQuotient of random variables

Categories
Multivariate Distributions (8) Copulas (6) Statistical Modeling (248) Medicine (22336) Gynecology (4800) Probability Theory (672) Biomarkers (467) Statistics (8857) Pathology (12652) Oncology (10297)

Abstract

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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