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OALib Journal期刊
ISSN: 2333-9721
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-  2011 

Product and Quotient of Independent Gauss Hypergeometric Variables

Keywords: Appell's first hypergeometric function, beta distribution, Gauss hypergeometric distribution, quotient, transformation

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Abstract:

In this article, we have derived the probability density functions of the productand the quotient of two independent random variables having Gauss hypergeometricdistribution. These densities have been expressed in terms of Appell'srst hypergeometric function F1. Further, Renyi and Shannon entropies havealso been derived for the Gauss hypergeometric distribution

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