Abstract
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.
Citation
Nadjib Bouzar. "On geometric stability and poisson mixtures." Illinois J. Math. 43 (3) 520 - 527, Fall 1999. https://doi.org/10.1215/ijm/1255985107
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