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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
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
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
Linking options:
https://www.mathnet.ru/eng/tvp168https://doi.org/10.4213/tvp168 https://www.mathnet.ru/eng/tvp/v50/i1/p189
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