# The I-Function Distribution and its Extensions

Source: [The I-Function Distribution and its Extensions](<https://www.sota2.com/research/paper/68fa518e1e209131ce974ccc>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T04:57:47.618Z

Authors: P. Vellaisamy, K. K. Kataria

Published: 2015-03-06T11:40:33.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1503.01925>)

[PDF](<https://arxiv.org/pdf/1503.01925.pdf>)