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Teoriya Veroyatnostei i ee Primeneniya, 1983, Volume 28, Issue 1, Pages 143–149 (Mi tvp2162)  
This article is cited in 9 scientific papers (total in 9 papers)

Short Communications

A remainder term estimate in a random-sum central limit theorem

G. Englund

Stockholm, Sweden
Full-text PDF (481 kB) Citations (9)
Received: 22.01.1981
English version:
Theory of Probability and its Applications, 1984, Volume 28, Issue 1, Pages 149–157
DOI: https://doi.org/10.1137/1128010
Bibliographic databases:
Document Type: Article
Language: English
Citation: G. Englund, “A remainder term estimate in a random-sum central limit theorem”, Teor. Veroyatnost. i Primenen., 28:1 (1983), 143–149; Theory Probab. Appl., 28:1 (1984), 149–157
Citation in format AMSBIB
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\by G.~Englund
\paper A remainder term estimate in a~random-sum central limit theorem
\jour Teor. Veroyatnost. i Primenen.
\yr 1983
\vol 28
\issue 1
\pages 143--149
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=691474}
\zmath{https://zbmath.org/?q=an:0529.60017|0517.60024}
\transl
\jour Theory Probab. Appl.
\yr 1984
\vol 28
\issue 1
\pages 149--157
\crossref{https://doi.org/10.1137/1128010}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984SL53600010}
Linking options:
  • https://www.mathnet.ru/eng/tvp2162
  • https://www.mathnet.ru/eng/tvp/v28/i1/p143
    Erratum
    This publication is cited in the following 9 articles:
    1. Vladimir Makarenko, Irina Shevtsova, “Delicate Comparison of the Central and Non-Central Lyapunov Ratios with Applications to the Berry–Esseen Inequality for Compound Poisson Distributions”, Mathematics, 11:3 (2023), 625  crossref
    2. 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
    3. I. G. Shevtsova, “On the accuracy of the normal approximation to compound Poisson distributions”, Theory Probab. Appl., 58:1 (2014), 138–158  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    4. Aurelija Kasparavičiūtė, Theorems of Large Deviations for the Sums of a Random Number of Independent Random Variables, 2013  crossref
    5. Sunklodas J.K., “Some Estimates of Normal Approximation for the Distribution of a Sum of a Random Number of Independent Random Variables”, Lith. Math. J., 52:3 (2012), 326–333  crossref  isi
    6. S. V. Gavrilenko, “Otsenki skorosti skhodimosti raspredelenii sluchainykh summ s bezgranichno delimymi indeksami k normalnomu zakonu”, Inform. i ee primen., 4:4 (2010), 80–87  mathnet
    7. E. Valkeila, “On normal approximation of a process with independent increments”, Russian Math. Surveys, 50:5 (1995), 945–961  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    8. V. Yu. Korolev, “On the Accuracy of Normal Approximation for the Distribution of a Sum of Random Number of Independent Random Variables”, Theory Probab. Appl., 33:3 (1988), 540–544  mathnet  mathnet  crossref  isi
    9. S. S. Barsov, “On the accuracy of normal approximation of the distributions of random sums of random vectors”, Theory Probab. Appl., 30:2 (1986), 376–379  mathnet  mathnet  crossref  isi
    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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