In this paper, we give new characterizations of exponential distributions on positive semigroups and we study the corresponding gamma distributions that govern semigroup products of independent and identically distributed exponential variables. We apply these results to the positive integers under multiplication to obtain new interpretations of results on Dirichlet distributions.
Publié le : 2007-05-14
Classification:
Dirichlet distribution,
exponential distribution,
gamma distribution,
partially ordered set,
positive semigroup,
zeta distribution
@article{1179498751,
author = {Siegrist, Kyle},
title = {Exponential and gamma distributions on positive semigroups, with applications to Dirichlet distributions},
journal = {Bernoulli},
volume = {13},
number = {1},
year = {2007},
pages = { 330-345},
language = {en},
url = {http://dml.mathdoc.fr/item/1179498751}
}
Siegrist, Kyle. Exponential and gamma distributions on positive semigroups, with applications to Dirichlet distributions. Bernoulli, Tome 13 (2007) no. 1, pp. 330-345. http://gdmltest.u-ga.fr/item/1179498751/