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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 1, Pages 189–200
DOI: https://doi.org/10.4213/tvp168 (Mi tvp168) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

A large deviations upper bound for the kernel mode estimator

A. Mokkadem, M. Pelletier, J. Worms
Full-text PDF (987 kB) Citations (5)
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DOI: https://doi.org/10.4213/tvp168
Abstract: We prove a large deviations upper bound for the kernel estimator of the mode when this one corresponds to a strict maximum of a probability density function. Surprisingly, the convergence rate we obtain is faster than one could expect in view of the weak convergence rate of the studied estimator.
Keywords: density, mode, Kernel estimator, large deviations principle.
Received: 20.08.2002
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 1, Pages 153–165
DOI: https://doi.org/10.1137/S0040585X97981573
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Mokkadem, M. Pelletier, J. Worms, “A large deviations upper bound for the kernel mode estimator”, Teor. Veroyatnost. i Primenen., 50:1 (2005), 189–200; Theory Probab. Appl., 50:1 (2006), 153–165
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v50/i1/p189
    • This publication is cited in the following 5 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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