On Bickel and Ritov's conjecture about adaptive estimation of the integral of the square of density derivative
type: Item
instance of: scholarly article
title: On Bickel and Ritov's conjecture about adaptive estimation of the integral of the square of density derivative
zbMATH Open document ID: 0859.62039
author: Sam Efromovich
author: Mark G. Low
published in: The Annals of Statistics
publication date: 1997-04-09T00:00:00Z
Mathematics Subject Classification ID: 62G07
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62C99
zbMATH DE Number: 950567
zbMATH Keywords: asymptotic efficiency
zbMATH Keywords: density estimation
zbMATH Keywords: density derivatives
zbMATH Keywords: functional estimation
zbMATH Keywords: rate of risk convergence
zbMATH Keywords: cross validation
zbMATH Keywords: adaptation
zbMATH Keywords: adaptive estimator
zbMATH Keywords: rate of convergence
zbMATH Keywords: optimal nonadaptive estimator
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1032894459
OpenAlex ID: W2002330520
Wikidata QID: Q122872992
cites work: Q3831875
cites work: A constrained risk inequality with applications to nonparametric functional estimation
cites work: Q3336497
cites work: Minimax quadratic estimation of a quadratic functional
cites work: Nonparametric Estimation of a Density of Unknown Smoothness
cites work: On optimal adaptive estimation of a quadratic functional
cites work: On the estimation of quadratic functionals
cites work: Approximation Theorems of Mathematical Statistics
DOI: 10.1214/AOS/1032894459
description: scientific article; zbMATH DE number 950567