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 $P(X<Y)$ 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.

中文翻译：

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双变量广义线性指数分布：属性和估计

摘要

本文介绍了一类新的二元广义线性指数 (BGLE) 分布，其边缘是广义线性指数 (GLE) 分布。我们推导出回归函数、乘积矩和应力-强度参数的表达式$磷(X<是)$对于 BGLE 分布。研究了几个统计特性、局部依赖函数和一些关联度量。此外，我们讨论了相关的 copula 及其各种重要属性。最后，获得了参数的最大似然估计值，并讨论了在真实数据集上的应用。