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• W2072541444 abstract "Let f n ( x ) be the non-parametric kernel density estimator of a density function f ( x ) based on a kernel function K . In this paper, we first prove two moderate deviation theorems in L 1 ( R d ) for { f n ( x ) , n ≥ 1 } . Then, as an application of the moderate deviations, we obtain a law of the iterated logarithm for { ‖ f n − E f n ‖ 1 , n ≥ 1 } ." @default.
• W2072541444 created "2016-06-24" @default.
• W2072541444 creator A5037394596 @default.
• W2072541444 date "2008-03-01" @default.
• W2072541444 modified "2023-09-27" @default.
• W2072541444 title "Moderate deviations and law of the iterated logarithm in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math> for kernel density estimators" @default.
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• W2072541444 doi "https://doi.org/10.1016/j.spa.2007.04.010" @default.
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