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Uspekhi Matematicheskikh Nauk, 1953, Volume 8, Issue 3(55), Pages 135–142 (Mi rm8214)  

This article is cited in 13 scientific papers (total in 13 papers)

Scientific notes and problems

Asymptotic behavior of the binomial distribution

Yu. V. Prokhorov
Received: 26.01.1953
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Yu. V. Prokhorov, “Asymptotic behavior of the binomial distribution”, Russian Math. Surveys, 8:3 (1953)
Citation in format AMSBIB
\Bibitem{Pro53}
\by Yu.~V.~Prokhorov
\paper Asymptotic behavior of the binomial distribution
\jour Russian Math. Surveys
\yr 1953
\vol 8
\issue 3
\mathnet{http://mi.mathnet.ru/eng/rm8214}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=56861}
\zmath{https://zbmath.org/?q=an:0051.10302}
Linking options:
  • https://www.mathnet.ru/eng/rm8214
  • https://www.mathnet.ru/eng/rm/v8/i3/p135
  • This publication is cited in the following 13 articles:
    1. V. I. Piterbarg, “Asymptotic behavior of point processes of exits of a Gaussian stationary sequence beyond high levels”, Moscow University Mathematics Bulletin, 78:6 (2023), 291–297  mathnet  crossref  crossref  elib
    2. N. G. Gamkrelidze, “Issledovaniya po reshetchatym raspredeleniyam teorii veroyatnostei”, Issledovaniya po reshetchatym raspredeleniyam teorii veroyatnostei, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 218, VINITI RAN, M., 2022, 3–66  mathnet  crossref  mathscinet
    3. S. V. Nagaev, “O tochnosti priblizheniya binomialnogo raspredeleniya puassonovskim zakonom”, Matem. tr., 24:2 (2021), 122–149  mathnet  crossref
    4. I. G. Shevtsova, “Convergence rate estimates in the global CLT for compound mixed Poisson distributions”, Theory Probab. Appl., 63:1 (2018), 72–93  mathnet  crossref  crossref  isi  elib
    5. F. Gettse, A. Yu. Zaitsev, “Redkie sobytiya i puassonovskie tochechnye protsessy”, Veroyatnost i statistika. 26, Zap. nauchn. sem. POMI, 466, POMI, SPb., 2017, 109–119  mathnet
    6. A. Yu. Zaitsev, “On the approximation of convolutions by accompanying laws in the scheme of series”, J. Math. Sci. (N. Y.), 199:2 (2014), 162–167  mathnet  crossref  mathscinet
    7. Theory Probab. Appl., 55:2 (2011), 198–224  mathnet  crossref  crossref  mathscinet  isi
    8. I. S. Borisov, I. S. Vorozheikin, “Accuracy of approximation in the Poisson theorem in terms of the χ2-distance”, Siberian Math. J., 49:1 (2008), 5–17  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    9. E. V. Cherepanova, “On the rate of convergence of the distribution of the number of cycles of given length in a random permutation with known number of cycles to the limit distributions”, Discrete Math. Appl., 16:4 (2006), 385–400  mathnet  crossref  crossref  mathscinet  zmath  elib
    10. D. N. Karymov, “On the accuracy of approximation in the Poisson limit theorem”, Discrete Math. Appl., 14:3 (2004), 317–327  mathnet  crossref  crossref  mathscinet  zmath
    11. D. N. Karymov, “On the decomposition of lattice distributions into convolutions of Poisson signed measures”, Theory Probab. Appl., 49:3 (2005), 545–552  mathnet  crossref  crossref  mathscinet  zmath  isi
    12. A. Yu. Zaitsev, “On approximation of the sample by a Poisson point process”, J. Math. Sci. (N. Y.), 128:1 (2005), 2556–2563  mathnet  crossref  mathscinet  zmath  elib
    13. I. S. Borisov, “A note on Dobrushin's theorem and couplings in poisson approximation in abelian groups”, Theory Probab. Appl., 48:3 (2004), 521–528  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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