Abstract
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.
Citation
Kyle Siegrist. "Exponential and gamma distributions on positive semigroups, with applications to Dirichlet distributions." Bernoulli 13 (2) 330 - 345, May 2007. https://doi.org/10.3150/07-BEJ5126
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