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Teoriya Veroyatnostei i ee Primeneniya, 1969, Volume 14, Issue 1, Pages 175–178 (Mi tvp1134)  

This article is cited in 3 scientific papers (total in 3 papers)

Short Communications

Limits of admissibility of normal approximations for the Poisson distribution

B. I. Devyatov

Moscow
Full-text PDF (261 kB) Citations (3)
Abstract: Various normal approximations of a Poisson distribution function
$$ \mathbf P\{\mu\le m\mid a\}=\sum_{k=0}^m\frac{a^k}{k!}e^{-a}=\frac1{\Gamma(m+1)}\int_a^\infty x^me^{-x}\,dx $$
are considered in case of large values of the parameter $a$. The least values $A(\varepsilon)$ of a for which the corresponding approximation errors do not exceed given $\varepsilon>0$ are also calculated, the results being compared with the exact values obtained with an electronic computer.
Received: 25.06.1968
English version:
Theory of Probability and its Applications, 1969, Volume 14, Issue 1, Pages 170–173
DOI: https://doi.org/10.1137/1114023
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. I. Devyatov, “Limits of admissibility of normal approximations for the Poisson distribution”, Teor. Veroyatnost. i Primenen., 14:1 (1969), 175–178; Theory Probab. Appl., 14:1 (1969), 170–173
Citation in format AMSBIB
\Bibitem{Dev69}
\by B.~I.~Devyatov
\paper Limits of admissibility of normal approximations for the Poisson distribution
\jour Teor. Veroyatnost. i Primenen.
\yr 1969
\vol 14
\issue 1
\pages 175--178
\mathnet{http://mi.mathnet.ru/tvp1134}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=245121}
\zmath{https://zbmath.org/?q=an:0281.60008|0238.60013}
\transl
\jour Theory Probab. Appl.
\yr 1969
\vol 14
\issue 1
\pages 170--173
\crossref{https://doi.org/10.1137/1114023}
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  • https://www.mathnet.ru/eng/tvp/v14/i1/p175
  • This publication is cited in the following 3 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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