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Teoriya Veroyatnostei i ee Primeneniya, 1980, Volume 25, Issue 2, Pages 394–399 (Mi tvp1185)  
This article is cited in 6 scientific papers (total in 6 papers)

Short Communications

Confidence bounds for convex functions of many unknown parameters

I. V. Pavlov

Moscow
Full-text PDF (451 kB) Citations (6)
Abstract: We find the conditions under which the interval estimation of quasi-convex functions of many unknown parameters with the confidence level more than the given value $\gamma$ may be fulfilled by means of the direct substitution of interval estimates with the same confidence level $\gamma$ into the estimated function. The results are applied to the interval estimation of the function of unknown parameters of normal distribution and to the interval estimation of the reliability of complex system by the results of reliability testing of its components.
Received: 18.03.1976
English version:
Theory of Probability and its Applications, 1981, Volume 25, Issue 2, Pages 388–393
DOI: https://doi.org/10.1137/1125050
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. V. Pavlov, “Confidence bounds for convex functions of many unknown parameters”, Teor. Veroyatnost. i Primenen., 25:2 (1980), 394–399; Theory Probab. Appl., 25:2 (1981), 388–393
Citation in format AMSBIB
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\by I.~V.~Pavlov
\paper Confidence bounds for convex functions of many unknown parameters
\jour Teor. Veroyatnost. i Primenen.
\yr 1980
\vol 25
\issue 2
\pages 394--399
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\zmath{https://zbmath.org/?q=an:0468.62031|0443.62023}
\transl
\jour Theory Probab. Appl.
\yr 1981
\vol 25
\issue 2
\pages 388--393
\crossref{https://doi.org/10.1137/1125050}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LU72000018}
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  • https://www.mathnet.ru/eng/tvp/v25/i2/p394
    • This publication is cited in the following 6 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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