A Bivariate Distribution Whose Marginal Laws Are Inverted Beta And Gamma

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE(2021)

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摘要
In this article, we define a four parameter bivariate distribution whose marginal distributions are inverted beta and gamma. For this distribution, we derive results such as product moments, correlation coefficient, marginal and conditional distributions, distributions of sum, product and quotient, information matrix, and entropies. We also deal with the problem of estimation of parameters.
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关键词
Beta distribution, confluent hypergeometric function, entropy, gamma distribution, information matrix, parabolic cylinder function
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