Analogues are proposed for the concepts of self-decomposability and stability for distributions on the nonnegative integers. It turns out that these "discrete self-decomposable" and "discrete stable" distributions have properties that are quite similar to those of their continuous counterparts.
Publié le : 1979-10-14
Classification:
Discrete distribution,
self-decomposable,
stable,
infinitely divisible,
unimodal,
domain of attraction,
60E05,
60F05
@article{1176994950,
author = {Steutel, F. W. and van Harn, K.},
title = {Discrete Analogues of Self-Decomposability and Stability},
journal = {Ann. Probab.},
volume = {7},
number = {6},
year = {1979},
pages = { 893-899},
language = {en},
url = {http://dml.mathdoc.fr/item/1176994950}
}
Steutel, F. W.; van Harn, K. Discrete Analogues of Self-Decomposability and Stability. Ann. Probab., Tome 7 (1979) no. 6, pp. 893-899. http://gdmltest.u-ga.fr/item/1176994950/