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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.
  • 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. (en)
Title
  • Integer valued stable random variables
  • Integer valued stable random variables (en)
skos:prefLabel
  • Integer valued stable random variables
  • Integer valued stable random variables (en)
skos:notation
  • RIV/00216208:11320/13:10159473!RIV14-GA0-11320___
http://linked.open...avai/riv/aktivita
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  • P(GAP203/12/0665), P(GBP402/12/G097)
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  • 6
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  • 80492
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  • RIV/00216208:11320/13:10159473
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  • Discrete distributions; Stable random variables (en)
http://linked.open.../riv/klicoveSlovo
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  • NL - Nizozemsko
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  • [0DB5C249D89C]
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  • Statistics and Probability Letters
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  • 83
http://linked.open...iv/tvurceVysledku
  • Klebanov, Lev
  • Slámová, Lenka
http://linked.open...ain/vavai/riv/wos
  • 000318387300006
issn
  • 0167-7152
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.spl.2013.02.016
http://localhost/t...ganizacniJednotka
  • 11320
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