A bivariate generalized linear exponential distribution: properties and estimation

This article introduces a new family of bivariate generalized linear exponential (BGLE) distributions, whose marginals are generalized linear exponential (GLE) distributions. We derive the expressions for regression function, product moments and the stress-strength parameter for the BGLE distributio...

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Bibliographic Details
Published in:	Communications in statistics. Simulation and computation Vol. 51; no. 9; pp. 5426 - 5446
Main Authors:	Pathak, A. K., Vellaisamy, P.
Format:	Journal Article
Language:	English
Published:	Philadelphia Taylor & Francis 27-09-2022 Taylor & Francis Ltd
Subjects:	Bivariate analysis Bivariate generalized exponential distribution Copulas Linear exponential distribution Maximum likelihood estimators Measures of association Parameters Probability distribution functions Statistical analysis
Online Access:	Get full text
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Summary:	This article introduces a new family of bivariate generalized linear exponential (BGLE) distributions, whose marginals are generalized linear exponential (GLE) distributions. We derive the expressions for regression function, product moments and the stress-strength parameter for the BGLE distribution. Several statistical properties, a local dependence function and some association measures are studied. Further, we discuss the associated copula and its various important properties. Finally, the maximum likelihood estimators for the parameters are obtained and an application to a real data set is also discussed.
ISSN:	0361-0918 1532-4141
DOI:	10.1080/03610918.2020.1771591