Geodesic
A note on a generalization of an infinite decomposability result
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2.

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A recent infinite decomposability result shows that, for any integer $m$, a random variable following the exponential distribution can be written as the sum of $m$ discontinuous random variables and another one following the exponential distribution, all of them independent. This note extends this result to the Gamma, Laplace and $n$-Laplace distributions, with a clear identification on the involved discontinuous distribution. We also discuss some properties of this new discontinuous distribution, proving that it is also infinitely decomposable.
Publié le :
DOI : 10.30755/NSJOM.11235
Classification : 60E07, 60E10
Keywords: probability distributions, infinitely decomposable, infinitely divisible 
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Christophe Chesneau; José Luis Palacios. A note on a generalization   of an infinite decomposability result. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 2. doi : 10.30755/NSJOM.11235. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11235/

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