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Avtomatika i Telemekhanika, 2007, Issue 11, Pages 46–60 (Mi at1076)  

This article is cited in 9 scientific papers (total in 9 papers)

Estimation in Systems

Application of the bootstrap method for estimation of the quantile function

B. V. Vishnyakov, A. I. Kibzun

Moscow Aviation Institute
Full-text PDF (266 kB) Citations (9)
References:
Abstract: The bootstrap method was used to reduce the sample volume at estimating the quantile function. Accuracy of the quantile sample estimate vs. the distribution of random variable was established analytically. A numerical example of calculation of the quantiles using the proposed bootstrap procedure for the uniform, normal, and Cauchy distributions was considered. An approximate formula for calculation of the quantile of the normal distribution was determined.
Presented by the member of Editorial Board: B. M. Miller

Received: 14.12.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 11, Pages 1931–1944
DOI: https://doi.org/10.1134/S0005117907110045
Bibliographic databases:
Document Type: Article
PACS: 02.50 Fz
Language: Russian
Citation: B. V. Vishnyakov, A. I. Kibzun, “Application of the bootstrap method for estimation of the quantile function”, Avtomat. i Telemekh., 2007, no. 11, 46–60; Autom. Remote Control, 68:11 (2007), 1931–1944
Citation in format AMSBIB
\Bibitem{VisKib07}
\by B.~V.~Vishnyakov, A.~I.~Kibzun
\paper Application of the bootstrap method for estimation of the quantile function
\jour Avtomat. i Telemekh.
\yr 2007
\issue 11
\pages 46--60
\mathnet{http://mi.mathnet.ru/at1076}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2383797}
\zmath{https://zbmath.org/?q=an:1146.93386}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 11
\pages 1931--1944
\crossref{https://doi.org/10.1134/S0005117907110045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36448950842}
Linking options:
  • https://www.mathnet.ru/eng/at1076
  • https://www.mathnet.ru/eng/at/y2007/i11/p46
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:479
    Full-text PDF :143
    References:61
    First page:1
     
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