Nearest neighbor estimates of regression

被引：1

作者：

Doksum, Kjell A. ^{[1
]}

Jiang, Jiancheng ^{[2
]}

Sun, Bo ^{[3
,4
]}

Wang, Shuzhen ^{[5
]}

机构：

[1] Univ Wisconsin Madison, Madison, WI 53706 USA

[2] Univ N Carolina, Charlotte, NC 28223 USA

[3] Wuhan Univ, Wuhan 430072, Hubei, Peoples R China

[4] Jishou Univ, Jishou 416000, Hunan, Peoples R China

[5] Beijing Union Univ, Coll Business, Beijing 100101, Peoples R China

来源：

COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2017年 / 110卷

关键词：

Empirical plug-in estimation; Local polynomial; Boundary adaptive; Minimax efficiency; WAVELET SHRINKAGE; ADDITIVE-MODELS; SMOOTHERS; SELECTION; SPLINES;

D O I：

10.1016/j.csda.2016.12.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

New nearest neighbor estimators of the nonparametric regression function and its derivatives are developed. Asymptotic normality is obtained for the proposed estimators over the interior points and the boundary region. Connections with other estimators such as local polynomial smoothers are established. The proposed estimators are boundary adaptive and extensions of the Stute estimators. Asymptotic minimax risk properties are also established for the proposed estimators. Simulations are conducted to compare the performance of the proposed estimators with others. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：64 / 74

页数：11

共 50 条

[41] CONSISTENCY OF A RECURSIVE NEAREST NEIGHBOR REGRESSION FUNCTION ESTIMATE
DEVROYE, L
WISE, GL
JOURNAL OF MULTIVARIATE ANALYSIS, 1980, 10 (04) : 539 - 550
[42] STRONG CONSISTENCY OF NEAREST NEIGHBOR REGRESSION FUNCTION ESTIMATORS
CHENG, PE
JOURNAL OF MULTIVARIATE ANALYSIS, 1984, 15 (01) : 63 - 72
[43] Interactive Image Retrieval Using Smoothed Nearest Neighbor Estimates
Arevalillo-Herraez, Miguel
Ferri, Francesc J.
STRUCTURAL, SYNTACTIC, AND STATISTICAL PATTERN RECOGNITION, 2010, 6218 : 708 - 717
[44] UNIFORM-CONVERGENCE RATES OF THE NEAREST NEIGHBOR DENSITY ESTIMATES
CHEN, XR
KEXUE TONGBAO, 1982, 27 (08): : 909 - 910
[45] Nearest neighbor median estimation of regression function and its derivatives
Ying, Y
TAIWANESE JOURNAL OF MATHEMATICS, 1998, 2 (03): : 313 - 319
[46] Nearest neighbor and kernel regression using particle swarms.
Cedeño, W
Agrafiotis, D
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2002, 223 : U477 - U478
[47] An Affine Invariant k-Nearest Neighbor Regression Estimate
Biau, Gerard
Devroye, Luc
Dujmovic, Vida
Krzyzak, Adam
2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT), 2012,
[48] An affine invariant k-nearest neighbor regression estimate
Biau, Gerard
Devroye, Luc
Dujmovic, Vida
Krzyzak, Adam
JOURNAL OF MULTIVARIATE ANALYSIS, 2012, 112 : 24 - 34
[49] The k- nearest neighbor technique with local linear regression
Magnussen, Steen
Tomppo, Erkki
SCANDINAVIAN JOURNAL OF FOREST RESEARCH, 2014, 29 (02) : 120 - 131
[50] Minimax Rate Optimal Adaptive Nearest Neighbor Classification and Regression
Zhao, Puning
Lai, Lifeng
IEEE TRANSACTIONS ON INFORMATION THEORY, 2021, 67 (05) : 3155 - 3182

← 1 2 3 4 5 →