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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 384, Pages 185–211 (Mi znsl3891)  
This article is cited in 2 scientific papers (total in 2 papers)

Optimal substitution of arguments of an arrangement increasing function based on sufficient statistics for parameters-arguments

M. I. Revyakov

St. Petersburg, Russia
Full-text PDF (331 kB) Citations (2)
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Abstract: The aim of this paper is to find the conditions under which optimal permutation of arguments of (goal) multivariate arrangement increasing functions of parameters of distributions must be realised, according to the same rule as if parameters-arguments ordering being the same as ordering of corresponding sufficient statistics.
Those results are used in the maximization problems of reliability of systems based on the test results of their components. Bibl. 16 titles.
Key words and phrases: ranking of populations, function of several vector-arguments, statistical decision function, monotonic likelihood ratio, concave loss function, reliability, tests.
Received: 24.09.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 2, Pages 209–223
DOI: https://doi.org/10.1007/s10958-011-0412-9
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: M. I. Revyakov, “Optimal substitution of arguments of an arrangement increasing function based on sufficient statistics for parameters-arguments”, Probability and statistics. Part 16, Zap. Nauchn. Sem. POMI, 384, POMI, St. Petersburg, 2010, 185–211; J. Math. Sci. (N. Y.), 176:2 (2011), 209–223
Citation in format AMSBIB
\Bibitem{Rev10}
\by M.~I.~Revyakov
\paper Optimal substitution of arguments of an arrangement increasing function based on sufficient statistics for parameters-arguments
\inbook Probability and statistics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 384
\pages 185--211
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3891}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 176
\issue 2
\pages 209--223
\crossref{https://doi.org/10.1007/s10958-011-0412-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79959538988}
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  • https://www.mathnet.ru/eng/znsl/v384/p185
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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