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Teoriya Veroyatnostei i ee Primeneniya, 2021, Volume 66, Issue 3, Pages 589–600
DOI: https://doi.org/10.4213/tvp5277 (Mi tvp5277) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

Local limit theorems for compound discrete distributions

A. N. Timashev

Institute of Cryptography, Communications and Informatics, Academy of Federal Security Service of Russian Federation, Moscow
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DOI: https://doi.org/10.4213/tvp5277
Abstract: Local limit theorems for compound discrete distributions (a normal theorem and a large deviation theorem) are put forward. Some examples of such distributions, including compound Poisson, compound binomial, and negative binomial distributions, are considered. Our analysis is based on elementary asymptotic methods in combination with the saddle-point method.
Keywords: local limit theorems, compound discrete distributions, compound Poisson distribution, large deviations, binomial distribution, negative binomial distribution, saddle-point method.
Received: 30.11.2018
Accepted: 21.11.2019
English version:
Theory of Probability and its Applications, 2021, Volume 66, Issue 3, Pages 474–481
DOI: https://doi.org/10.1137/S0040585X97T990538
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. N. Timashev, “Local limit theorems for compound discrete distributions”, Teor. Veroyatnost. i Primenen., 66:3 (2021), 589–600; Theory Probab. Appl., 66:3 (2021), 474–481
Citation in format AMSBIB
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\by A.~N.~Timashev
\paper Local limit theorems for compound discrete distributions
\jour Teor. Veroyatnost. i Primenen.
\yr 2021
\vol 66
\issue 3
\pages 589--600
\mathnet{http://mi.mathnet.ru/tvp5277}
\crossref{https://doi.org/10.4213/tvp5277}
\zmath{https://zbmath.org/?q=an:1479.60053}
\transl
\jour Theory Probab. Appl.
\yr 2021
\vol 66
\issue 3
\pages 474--481
\crossref{https://doi.org/10.1137/S0040585X97T990538}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129578150}
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  • https://doi.org/10.4213/tvp5277
  • https://www.mathnet.ru/eng/tvp/v66/i3/p589
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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