English

The I-Function Distribution and its Extensions

Probability 2015-03-09 v1

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.

Keywords

Cite

@article{arxiv.1503.01925,
  title  = {The I-Function Distribution and its Extensions},
  author = {P. Vellaisamy and K. K. Kataria},
  journal= {arXiv preprint arXiv:1503.01925},
  year   = {2015}
}

Comments

17 pages

R2 v1 2026-06-22T08:46:01.047Z