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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 454, Pages 238–253 (Mi znsl6396)  
This article is cited in 1 scientific paper (total in 1 paper)

Ranking and selection of populations based on sample means

M. I. Revyakov

St. Petersburg, Russia
Full-text PDF (218 kB) Citations (1)
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Abstract: A number of directions is indicated in which, for statistical problems of decision making related to ordering the parameters of distributions, it is expedient to lean on comparison of sample means. It is assumed that the corresponding parametric family has no nontrivial sufficient statistics. The key role is played by establishing conditions under which the reliability of inferences increases monotonically with the size of the sampling. Examples of applications are given.
Key words and phrases: reliability of inferences, testing hypotheses, log-concave density, majorization, statistical test, Lorentz inequality.
Received: 10.11.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 6, Pages 756–766
DOI: https://doi.org/10.1007/s10958-018-3715-2
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: M. I. Revyakov, “Ranking and selection of populations based on sample means”, Probability and statistics. Part 24, Zap. Nauchn. Sem. POMI, 454, POMI, St. Petersburg, 2016, 238–253; J. Math. Sci. (N. Y.), 229:6 (2018), 756–766
Citation in format AMSBIB
\Bibitem{Rev16}
\by M.~I.~Revyakov
\paper Ranking and selection of populations based on sample means
\inbook Probability and statistics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 454
\pages 238--253
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6396}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3602413}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 6
\pages 756--766
\crossref{https://doi.org/10.1007/s10958-018-3715-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042801097}
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  • https://www.mathnet.ru/eng/znsl/v454/p238
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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