Integer valued stable random variables

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10159473" target="_blank" >RIV/00216208:11320/13:10159473 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.spl.2013.02.016" target="_blank" >http://dx.doi.org/10.1016/j.spl.2013.02.016</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.spl.2013.02.016" target="_blank" >10.1016/j.spl.2013.02.016</a>

Result language
angličtina
Original language name
Integer valued stable random variables
Original language description
The aim of this paper is to define the notion of stability for random variables on Z. A definition of discrete stable distributions is introduced and we study properties of such distributions. The generating functions are given, as well as the probabilities of lattice distribution. We show how these distributions converge to classical stable distributions and thus can be considered as a discrete approximation of their absolutely continuous counterparts.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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