On the distribution of a random variable involved in an independent ratio
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS(2024)
摘要
In this article, using inverse integral transforms, we derive the exact distribution of the random variable X that is involved in the ratio Z=dX/(X+Y) where X and Y are independent random variables having the same support, and Z and Y have known distributions. We introduce new distributions this way. As an application of the obtained results, several examples are presented.
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关键词
Laplace transform,inverse Laplace transform,generalized Stieltjes transform,inverse generalized Stieltjes transform,type I ratio,MSC 62Exx,MSC 62Fxx
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