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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 2, Pages 388–394 (Mi tvp3047)  

This article is cited in 22 scientific papers (total in 22 papers)

Short Communications

Infinite-dimensional informational bounds

B. Ya. Levit

Moscow
Abstract: An infinite-dimensional version of the Hajek–Le Cam [1], [2] lower bounds in estimation of the unknown parameter is derived. The result is applied to some classical estimation problems. In particular, lower bounds in estimation of the unknown distribution function are obtained and the asymptotic minimax property of the empiric d. f., stronger than that of [7], is established.
Received: 29.09.1976
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 2, Pages 371–377
DOI: https://doi.org/10.1137/1123040
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: B. Ya. Levit, “Infinite-dimensional informational bounds”, Teor. Veroyatnost. i Primenen., 23:2 (1978), 388–394; Theory Probab. Appl., 23:2 (1979), 371–377
Citation in format AMSBIB
\Bibitem{Lev78}
\by B.~Ya.~Levit
\paper Infinite-dimensional informational bounds
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 2
\pages 388--394
\mathnet{http://mi.mathnet.ru/tvp3047}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=488446}
\zmath{https://zbmath.org/?q=an:0428.62051|0404.62053}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 2
\pages 371--377
\crossref{https://doi.org/10.1137/1123040}
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  • https://www.mathnet.ru/eng/tvp3047
  • https://www.mathnet.ru/eng/tvp/v23/i2/p388
  • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Теория вероятностей и ее применения Theory of Probability and its Applications
     
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