On the minimisation of \(L^ p\) error in mode estimation
type: Item
instance of: scholarly article
title: On the minimisation of \(L^ p\) error in mode estimation
zbMATH Open document ID: 0853.62029
author: Birgit Grund
author: Peter Hall
published in: The Annals of Statistics
publication date: 1997-01-09T00:00:00Z
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62G09
Mathematics Subject Classification ID: 62G07
zbMATH DE Number: 922124
zbMATH Keywords: smoothing parameter
zbMATH Keywords: Lp-convergence
zbMATH Keywords: density estimator
zbMATH Keywords: existence of finite variance
zbMATH Keywords: mean square convergence
zbMATH Keywords: nonparametric mode estimators
zbMATH Keywords: bandwidth choice
zbMATH Keywords: smoothed bootstrap methods
zbMATH Keywords: empirical approximation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1034713656
OpenAlex ID: W1982507776
cites work: Q3336497
cites work: Optimum kernel estimators
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cites work: Testing for multimodality
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cites work: Some Direct Estimates of the Mode
cites work: Using the bootstrap to estimate mean squared error and select smoothing parameter in nonparametric problems
cites work: Smoothed cross-validation
cites work: Correcting the negativity of high-order kernel density estimators
cites work: An approximation of partial sums of independent RV'-s, and the sample DF. I
cites work: Some asymptotics for multimodality tests based on kernel density estimates
cites work: On Estimation of a Probability Density Function and Mode
cites work: On weak convergence and optimality of kernel density estimates of the mode
cites work: Bootstrapping the mode
cites work: Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
cites work: Q4727203
cites work: Bootstrap choice of the smoothing parameter in kernel density estimation
cites work: Recursive estimation of the mode of a multivariate distribution
DOI: 10.1214/AOS/1034713656
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description: scientific article; zbMATH DE number 922124