On nonparametric regression for iid observations in a general setting
type: Item
instance of: scholarly article
title: On nonparametric regression for iid observations in a general setting
zbMATH Open document ID: 0865.62025
author: Sam Efromovich
published in: The Annals of Statistics
publication date: 1997-07-14T00:00:00Z
Mathematics Subject Classification ID: 62G07
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62L12
zbMATH DE Number: 951864
zbMATH Keywords: curve estimation
zbMATH Keywords: sharp-optimal estimation
zbMATH Keywords: random design nonparametric regression
zbMATH Keywords: response function
zbMATH Keywords: optimal minimax mean integrated squared error convergence
zbMATH Keywords: best constant
zbMATH Keywords: rate of risk convergence
zbMATH Keywords: nonparametric analog of Fisher information
zbMATH Keywords: location
zbMATH Keywords: scale
zbMATH Keywords: censored data
zbMATH Keywords: mixture models
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1032526960
OpenAlex ID: W2081401785
cites work: Q4073917
cites work: Q5338374
cites work: Q4277836
cites work: Q4139463
cites work: Minimax risk over hyperrectangles, and implications
cites work: Nonparametric Estimation of a Density of Unknown Smoothness
cites work: Sequential Nonparametric Estimation of a Density
cites work: Q4715953
cites work: Application of Nonparametric Binary Regression to Evaluate the Sensitivity of Explosives
cites work: Q3996878
cites work: Local linear regression smoothers and their minimax efficiencies
cites work: LAN in Problems of Nonparametric Estimation of Functions and Lower Bounds for Quadratic Risks
cites work: A risk bound in Sobolev class regression
cites work: Q3672893
cites work: Spline smoothing in regression models and asymptotic efficiency in \(L_ 2\)
cites work: Optimal filtering of square-integrable signals in Gaussian noise
cites work: Spline smoothing and optimal rates of convergence in nonparametric regression models
cites work: Q3996207
DOI: 10.1214/AOS/1032526960
Recommended article: On identity reproducing nonparametric regression estimators
Recommended article: Identity reproducing multivariate nonparametric regression
Recommended article: A Unifying Approach to Nonparametric Regression Estimation
Recommended article: On some ridge regression estimators: a nonparametric approach
Recommended article: Consistent nonparametric regression: Some generalizations in the fixed design case
description: scientific article; zbMATH DE number 951864