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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 2, Pages 404–408
DOI: https://doi.org/10.4213/tvp119 (Mi tvp119) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

A limit property of the geometric distribution

J. Macutek

Comenius University
Full-text PDF (476 kB) Citations (3)
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DOI: https://doi.org/10.4213/tvp119
Abstract: Let random variables $X^{\ast}$, $X$ have discrete distributions on the nonnegative integers and let
$$ \mathbf{P}\{X=k\}=c\sum^{\infty}_{j=k}\mathbf{P}\{X^{\ast}=j\},\qquad k=0,1,2,\dots, $$
with $c$ a proper constant. Repeated summations of this type are investigated. The limit distribution is geometric for a wide class of parent distributions.
Keywords: discrete distributions, partial-sums distributions, geometric distribution.
Received: 21.12.2001
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 2, Pages 316–319
DOI: https://doi.org/10.1137S0040585X97981767
Bibliographic databases:
Document Type: Article
Language: English
Citation: J. Macutek, “A limit property of the geometric distribution”, Teor. Veroyatnost. i Primenen., 50:2 (2005), 404–408; Theory Probab. Appl., 50:2 (2006), 316–319
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v50/i2/p404
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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