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

Marvin Pizon; Jayrold  P. Arcede

doi:10.55059/ijm.2022.1.3/41

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

Authors

Marvin Pizon Agusan del Sur State College of Agriculture and Technology https://orcid.org/0000-0003-3029-3222
Jayrold P. Arcede Department of Mathematics, Caraga State University, Philippines

DOI:

https://doi.org/10.55059/ijm.2022.1.3/41

Keywords:

Inverse Paralogistic Distribution, Gauss Hypergeometric function, Products, Quotient of random variables

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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Published

2022-07-14

How to Cite

Pizon, M., & P. Arcede, J. . (2022). Product and Quotient of Inverse Paralogistic Distribution Generated Based on Farlie-Gumbel-Morgenstern (FGM) Copula. Innovative Journal of Mathematics (IJM), 1(3), 1–14. https://doi.org/10.55059/ijm.2022.1.3/41