V. Yu. Korolev, “On the Accuracy of Normal Approximation for the Distribution of a Sum of Random Number of Independent Random Variables”, Teor. Veroyatnost. i Primenen., 33:3 (1988), 577–581; Theory Probab. Appl., 33:3 (1988), 540

Loading [MathJax]/jax/output/SVG/config.js

Teoriya Veroyatnostei i ee Primeneniya

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor
	Guidelines for authors
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Teoriya Veroyatnostei i ee Primeneniya, 1988, Volume 33, Issue 3, Pages 577–581 (Mi tvp3715)

This article is cited in 12 scientific papers (total in 12 papers)

Short Communications

On the Accuracy of Normal Approximation for the Distribution of a Sum of Random Number of Independent Random Variables

V. Yu. Korolev

Full-text PDF (1272 kB) Citations (12)

Received: 29.04.1986

English version:
Theory of Probability and its Applications, 1988, Volume 33, Issue 3, Pages 540–544
DOI: https://doi.org/10.1137/1133079

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: V. Yu. Korolev, “On the Accuracy of Normal Approximation for the Distribution of a Sum of Random Number of Independent Random Variables”, Teor. Veroyatnost. i Primenen., 33:3 (1988), 577–581; Theory Probab. Appl., 33:3 (1988), 540–544

Citation in format AMSBIB

\Bibitem{Kor88}

\by V.~Yu.~Korolev

\paper On the Accuracy of Normal Approximation for the Distribution of a~Sum of Random Number of Independent Random Variables

\jour Teor. Veroyatnost. i Primenen.

\yr 1988

\vol 33

\issue 3

\pages 577--581

\mathnet{http://mi.mathnet.ru/tvp3715}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=968403}

\zmath{https://zbmath.org/?q=an:0676.60045|0656.60042}

\transl

\jour Theory Probab. Appl.

\yr 1988

\vol 33

\issue 3

\pages 540--544

\crossref{https://doi.org/10.1137/1133079}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988AL62800012}

Linking options:

https://www.mathnet.ru/eng/tvp3715

https://www.mathnet.ru/eng/tvp/v33/i3/p577

This publication is cited in the following 12 articles:

I. G. Shevtsova, “Convergence rate estimates in the global CLT for compound mixed Poisson distributions”, Theory Probab. Appl., 63:1 (2018), 72–93
Jonas Kazys Sunklodas, “On the normal approximation of a negative binomial random sum”, Lith Math J, 55:1 (2015), 150
Jonas Kazys Sunklodas, “On the normal approximation of a binomial random sum”, Lith Math J, 54:3 (2014), 356
Aurelija Kasparavičiūtė, Theorems of Large Deviations for the Sums of a Random Number of Independent Random Variables, 2013
Jonas Kazys Sunklodas, “L 1 bounds for asymptotic normality of random sums of independent random variables”, Lith Math J, 53:4 (2013), 438
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
Jonas Kazys Sunklodas, “On the normal approximation of a sum of a random number of independent random variables”, Lith Math J, 52:4 (2012), 435
Kasparaviciute A., Saulis L., “Theorems on Large Deviations for Randomly Indexed Sum of Weighted Random Variables”, Acta Appl Math, 116:3 (2011), 255–267
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
E. Valkeila, “On normal approximation of a process with independent increments”, Russian Math. Surveys, 50:5 (1995), 945–961
V. Yu. Korolyev, “An Approximation of Distributions of Sums of Independent Random Variables by Mixtures of Normal Laws”, Theory Probab. Appl., 34:3 (1989), 523–531
V. Yu. Korolev, “Non-Uniform Estimates of the Accuracy of the Normal Approximation for Distributions of Sums of Independent Random Variables with Random Number of Summands”, Theory Probab. Appl., 33:4 (1988), 755–759

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Theory of Probability and its Applications

Statistics & downloads:
Abstract page:	303
Full-text PDF :	116

Что такое QR-код?

Registration to the website

Logotypes