Properties of the Bivariate Confluent Hypergeometric Function Kind 1 Distribution
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چکیده
The bivariate confluent hypergeometric function kind 1 distribution is defined by the probability density function proportional to x1 1 x2 2 1 F1(α; β; −x1 − x2). In this article, we study several properties of this distribution and derive density functions of X1/X2, X1/(X1 + X2), X1 + X2 and 2 √ X1X2. The density function of 2 √ X1X2 is represented in terms of modified Bessel function of the second kind. We also show that for ν1 − ν2 = 1/2, 2 √ X1X2 follows a confluent hypergeometric function kind 1 distribution.
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تاریخ انتشار 2011