The law of the iterated logarithm for the multivariate kernel mode estimator

DOI10.1051/ps:2003004zbMath1013.62032OpenAlexW2031318907MaRDI QIDQ4709878

Abdelkader Mokkadem, Mariane Pelletier

Publication date: 23 June 2003

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PS_2003__7__1_0

zbMATH Keywords

densitylaw of the iterated logarithmcentral limit theoremkernel estimatormode

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items

Rates of consistency for nonparametric estimation of the mode in absence of smoothness assumptions, Estimation of the global mode of a density: minimaxity, adaptation, and computational complexity, A note on the convergence rate of the kernel density estimator of the mode, Some results about kernel estimators for function derivatives based on stationary and ergodic continuous time processes with applications, On the consistency of mode estimate for spatially dependent data, Joint behaviour of semirecursive kernel estimators of the location and of the size of the mode of a probability density function, Uniform rate of strong consistency for a smooth kernel estimator of the conditional mode for censored time series, A kernel mode estimate under random left truncation and time series model: asymptotic normality, The law of the iterated logarithm for the multivariate kernel mode estimator, On the asymptotic properties of a simple estimate of the Mode, Uniform convergence rate of the kernel regression estimator adaptive to intrinsic dimension in presence of censored data, Moderate deviations for the kernel mode estimator and some applications, Uniform almost sure convergence and asymptotic distribution of the wavelet-based estimators of partial derivatives of multivariate density function under weak dependence

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