The I-Function Distribution and its Extensions

preprint2015arXivOpen access

Abstract

In this paper we introduce a new probability distribution on (0,1), associated with the I-function, namely, the I-function distribution. This distribution generalizes several known distributions with positive support. It is also shown that the distribution of products, quotients and powers of independent I-function variates are I-function variates. Another distribution called the I-function inverse Gaussian distribution is also introduced and studied.

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