Conditionally Specified Bivariate Kummer-Gamma Distribution-Reference-Cited by-同舟云学术

Conditionally Specified Bivariate Kummer-Gamma Distribution

Published:2021-04-29 Issue: Volume:20 Page:196-206
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Nagar Daya K.¹,Zarrazola Edwin¹^ORCID,Roldán-Correa Alejandro¹^ORCID

Affiliation:

1. Instituto De Matemáticas, Universidad De Antioquia, Calle 67, No. 53–108, Medellín, Colombia

Abstract

The Kummer-gamma distribution is an extension of gamma distribution and for certain values of parameters slides to a bimodal distribution. In this article, we introduce a bivariate distribution with Kummer-gamma conditionals and call it the conditionally specified bivariate Kummer-gamma distribution/bivariate Kummer-gamma conditionals distribution. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities, and conditional moments. We also discuss several important properties including, entropies, distributions of sum, and quotient. Most of these representations involve special functions such as the Gauss and the confluent hypergeometric functions. The bivariate Kummer-gamma conditionals distribution studied in this article may serve as an alternative to many existing bivariate models with support on (0, ∞) × (0, ∞).

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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