On geometric stability and poisson mixtures

Bouzar, Nadjib

Bouzar, Nadjib

Illinois J. Math., Tome 43 (1999) no. 3, p. 520-527 / Harvested from Project Euclid

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Résumé

The purpose of this paper is to introduce a generalized notion of geometric stability for distributions with support in

$\mathbf{Z}_{+}$ and

$\mathbf{R}_{+}$ . Several characterizations are obtained. A related concept of geometric attraction is also Studied. Importantly, Poisson mixtures are used to deduce results for the

$\mathbf{R}_{+}$ -case from their

$\mathbf{Z}_{+}$ -counterparts.

Publié le : 1999-09-15
Classification: 60E07, 60E10, 60J80

@article{1255985107,
     author = {Bouzar, Nadjib},
     title = {On geometric stability and poisson mixtures},
     journal = {Illinois J. Math.},
     volume = {43},
     number = {3},
     year = {1999},
     pages = { 520-527},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255985107}
}

Bouzar, Nadjib. On geometric stability and poisson mixtures. Illinois J. Math., Tome 43 (1999) no. 3, pp.  520-527. http://gdmltest.u-ga.fr/item/1255985107/