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Teoriya Veroyatnostei i ee Primeneniya, 1993, Volume 38, Issue 2, Pages 425–431 (Mi tvp3949)  
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

On a characteristic of the accuracy of estimating a distribution density

I. A. Ibragimov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (390 kB) Citations (1)
Abstract: Within the framework of the scheme of independently observed random elements $X_1,\ldots,X_n$ with densities $p(x;\theta)$, $\theta\in\Theta$, the question is studied as to what extent is the possible asymptotic accuracy of the estimation related to the complex structure of the parameter set $\Theta$.
Keywords: estimation of a distribution density, asymptotic difficulty of an estimation problem, minimal risk, measure of complexity of the parameter set, Kolmogorov diameters.
Received: 21.12.1992
English version:
Theory of Probability and its Applications, 1993, Volume 38, Issue 2, Pages 355–360
DOI: https://doi.org/10.1137/1138032
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. A. Ibragimov, “On a characteristic of the accuracy of estimating a distribution density”, Teor. Veroyatnost. i Primenen., 38:2 (1993), 425–431; Theory Probab. Appl., 38:2 (1993), 355–360
Citation in format AMSBIB
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\by I.~A.~Ibragimov
\paper On a characteristic of the accuracy of estimating a~distribution density
\jour Teor. Veroyatnost. i Primenen.
\yr 1993
\vol 38
\issue 2
\pages 425--431
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1317987}
\zmath{https://zbmath.org/?q=an:0806.62018}
\transl
\jour Theory Probab. Appl.
\yr 1993
\vol 38
\issue 2
\pages 355--360
\crossref{https://doi.org/10.1137/1138032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993NY72300013}
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  • https://www.mathnet.ru/eng/tvp/v38/i2/p425
    • 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
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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