Geodesic
A large deviations upper bound for the kernel mode estimator
Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 1, pp. 189-200 Cet article a éte moissonné depuis la source Math-Net.Ru

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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, Kernel estimator, large deviations principle.
Mots-clés : mode 
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A. Mokkadem; M. Pelletier; J. Worms. A large deviations upper bound for the kernel mode estimator. Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 1, pp. 189-200. http://geodesic.mathdoc.fr/item/TVP_2005_50_1_a13/

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