Local convergency rate of MSE in density estimation using the second-order modulus of smoothness

DOI10.1080/03610926.2015.1056367zbMath1368.62088OpenAlexW2342041673MaRDI QIDQ4976200

Publication date: 27 July 2017

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2015.1056367

zbMATH Keywords

modulus of smoothness rates of convergence multivariate density estimation delta sequences second-order finite differences Zygmund operator

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (1)

Nonparametric density estimation based on beta prime kernel

Cites Work

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Nonparametric density estimation for functional data by delta sequences
Uniform large deviations principle for the delta-sequence method density estimator
Integrated consistency of smoothed probability density estimators for stationary sequences
Wavelet linear estimation for derivatives of a density from observations of mixtures with varying mixing proportions
On smoothed probability density estimation for stationary processes
Estimation of a multivariate density function using delta sequences
A note on nonparametric density estimation for dependent variables using a delta sequence
On trigonometric series estimates of densities
Interpolating spline methods for density estimation. I: Equi-spaced knots
Properties of Hermite series estimation of probability density
Probability density estimation using delta sequences
Large deviations principle for the delta-sequence method density estimator
Large deviations probabilities for a symmetry test statistic based on delta-sequence density estimation
Local Convergence Rate of Mean Squared Error in Density Estimation
Remarks on Some Nonparametric Estimates of a Density Function
Rates of convergence for an estimator of a density function based on jacobi polynomials
Estimation of Probability Density by an Orthogonal Series
A Polynomial Algorithm for Density Estimation
On Choosing a Delta-Sequence
Asymptotic theory of density estimation
On the Best Obtainable Asymptotic Rates of Convergence in Estimation of a Density Function at a Point
On Estimation of a Probability Density Function and Mode

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