Bivariate Topp-Leone family of distributions

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE(2022)

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摘要
The Topp-Leone family of univariate distributions has drawn considerable attention in recent years. In this article, we define a bivariate generalization of the Topp-Leone distribution. Moreover, we derive several results such as marginal and conditional distributions, joint moments, correlation coefficient, and Fisher information matrix. Furthermore, we derive the exact distributions of X + Y, X/(X + Y) and XY when X and Y follow bivariate Topp-Leone distribution.
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关键词
Bivariate distribution, Fisher information matrix, Gauss hypergeometric function, moments, transformation, Topp-Leone distribution
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