A bivariate generalized linear exponential distribution: properties and estimation

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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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
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Abstract 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.
AbstractList 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.
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.
Author Vellaisamy, P.
Pathak, A. K.
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  organization: Department of Mathematics, Indian Institute of Technology Bombay
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SubjectTerms Bivariate analysis
Bivariate generalized exponential distribution
Copulas
Linear exponential distribution
Maximum likelihood estimators
Measures of association
Parameters
Probability distribution functions
Statistical analysis
Title A bivariate generalized linear exponential distribution: properties and estimation
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