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A Note on Certain Stability and Limiting Properties of ν-infinitely divisible distributions
by
Tomasz J. Kozubowski
BibTeX
@MISC{Kozubowski_anote,
author = {Tomasz J. Kozubowski},
title = {A Note on Certain Stability and Limiting Properties of ν-infinitely divisible distributions},
year = {}
}
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Abstract
Abstract. The class of ν-infinitely divisible (ID) distributions, which arise in connection with random summation, is a reach family including geometric infinitely divisible (GID) and geometric stable (GS) laws. We present two sim-ple results connected with triangular arrays with random number of terms and their limiting ν-ID distributions as well as random sums with ν-ID distributed terms. These generalize and unify certain results scattered in the literature that concern the special cases of GID and GS laws.
