The gamma and Rayleigh distributions are two of the most applied distributions in engineering. Motivated by engineering issues, the exact distribution of the quotient X/Y is derived when X and Y are independent gamma and Rayleigh random variables. Tabulations of the associated percentage points and a computer program for generating them are also given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am34-3-8,
author = {Saralees Nadarajah},
title = {On the ratio of gamma and Rayleigh random variables},
journal = {Applicationes Mathematicae},
volume = {34},
year = {2007},
pages = {373-382},
zbl = {1127.62011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-3-8}
}
Saralees Nadarajah. On the ratio of gamma and Rayleigh random variables. Applicationes Mathematicae, Tome 34 (2007) pp. 373-382. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am34-3-8/