학술논문

On a Bivariate XGamma Distribution Derived from Copula
Document Type
article
Source
Statistica, Vol 82, Iss 1, Pp 15-40 (2022)
Subject
bivariate xgamma distribution
copulas
fgm copula
maximum likelihood estimate
inference function of margin
Statistics
HA1-4737
Language
English
ISSN
0390-590X
1973-2201
Abstract
In this paper, a new bivariate XGamma (BXG) distribution is presented using Farlie-Gumbel-Morgenstern (FGM) copula. We derive the expressions for conditional distribution, regression function and product moments for the BXG distribution. Concept of reliability and various measures of local dependence are also studied for the proposed model. Furthermore, estimation of the parameters of the BXG distribution is obtained through maximum likelihood estimation and inference function of margin estimation procedures. Finally, an application of the same is also demonstrated to a real data set.