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Teoriya Veroyatnostei i ee Primeneniya, 1969, Volume 14, Issue 1, Pages 151–155 (Mi tvp1129)  
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

The squared error of the estimate of a multidimensional normal density function by the sample data

G. M. Maniya

Tbilisi
Full-text PDF (269 kB) Citations (1)
Abstract: It has been proved in [2] that the distributions of the variables
$$ n\int_{R^k}[p(x)-p^*_n(x)]^2\,dx $$
converge as $n\to\infty$ to the distribution of the sum of two independent quadratic forms. In the paper the distributions of these quadratic forms are obtained.
Received: 10.06.1968
English version:
Theory of Probability and its Applications, 1969, Volume 14, Issue 1, Pages 149–153
DOI: https://doi.org/10.1137/1114018
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. M. Maniya, “The squared error of the estimate of a multidimensional normal density function by the sample data”, Teor. Veroyatnost. i Primenen., 14:1 (1969), 151–155; Theory Probab. Appl., 14:1 (1969), 149–153
Citation in format AMSBIB
\Bibitem{Man69}
\by G.~M.~Maniya
\paper The squared error of the estimate of a~multidimensional normal density function by the sample data
\jour Teor. Veroyatnost. i Primenen.
\yr 1969
\vol 14
\issue 1
\pages 151--155
\mathnet{http://mi.mathnet.ru/tvp1129}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=246405}
\zmath{https://zbmath.org/?q=an:0194.50201|0174.23103}
\transl
\jour Theory Probab. Appl.
\yr 1969
\vol 14
\issue 1
\pages 149--153
\crossref{https://doi.org/10.1137/1114018}
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  • https://www.mathnet.ru/eng/tvp/v14/i1/p151
    • 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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