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Teoriya Veroyatnostei i ee Primeneniya, 1978, Volume 23, Issue 3, Pages 495–509 (Mi tvp3065)  
This article is cited in 6 scientific papers (total in 6 papers)

Complete asymptotic expansions for the maximum deviation of the empirical density function

V. D. Konakov

Moscow
Full-text PDF (750 kB) Citations (6)
Abstract: Complete asymptotic expansion (19) is obtained for the properly normalized maximum deviation of the empirical density function. As a consequence, the exact rate of convergence to the limiting distribution is found. Some approximations, more useful in practice, and their rates of convergence are also given. In the special histogram case the results obtained are refinements and generalizations of some results of N. V. Smirnov ([5], [7]).
Received: 19.10.1976
English version:
Theory of Probability and its Applications, 1979, Volume 23, Issue 3, Pages 475–489
DOI: https://doi.org/10.1137/1123058
Bibliographic databases:
Language: Russian
Citation: V. D. Konakov, “Complete asymptotic expansions for the maximum deviation of the empirical density function”, Teor. Veroyatnost. i Primenen., 23:3 (1978), 495–509; Theory Probab. Appl., 23:3 (1979), 475–489
Citation in format AMSBIB
\Bibitem{Kon78}
\by V.~D.~Konakov
\paper Complete asymptotic expansions for the maximum deviation of the empirical density function
\jour Teor. Veroyatnost. i Primenen.
\yr 1978
\vol 23
\issue 3
\pages 495--509
\mathnet{http://mi.mathnet.ru/tvp3065}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=509725}
\zmath{https://zbmath.org/?q=an:0389.60019}
\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 23
\issue 3
\pages 475--489
\crossref{https://doi.org/10.1137/1123058}
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  • https://www.mathnet.ru/eng/tvp/v23/i3/p495
    • This publication is cited in the following 6 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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