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
收藏
页码：64 / 74
页数：11
相关论文
共 50 条
  • [31] Nearest Neighbor Estimates of Entropy for Multivariate Circular Distributions
    Misra, Neeraj
    Singh, Harshinder
    Hnizdo, Vladimir
    ENTROPY, 2010, 12 (05): : 1125 - 1144
  • [32] Multiscale classification using nearest neighbor density estimates
    Ghosh, Anil K.
    Chaudhuri, Probal
    Murthy, C. A.
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2006, 36 (05): : 1139 - 1148
  • [33] MULTIVARIATE K-NEAREST NEIGHBOR DENSITY ESTIMATES
    MACK, YP
    ROSENBLATT, M
    JOURNAL OF MULTIVARIATE ANALYSIS, 1979, 9 (01) : 1 - 15
  • [34] CONVERGENCE-RATES OF NEAREST NEIGHBOR DENSITY ESTIMATES
    CHEN, XR
    SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1982, 25 (05): : 455 - 467
  • [35] A k-nearest neighbor approach for functional regression
    Laloe, Thomas
    STATISTICS & PROBABILITY LETTERS, 2008, 78 (10) : 1189 - 1193
  • [36] Active Nearest Neighbor Regression Through Delaunay Refinement
    Kravberg, Alexander
    Marchetti, Giovanni Luca
    Polianskii, Vladislav
    Varava, Anastasiia
    Pokorny, Florian T.
    Kragic, Danica
    INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 162, 2022,
  • [37] AN INTRODUCTION TO KERNEL AND NEAREST-NEIGHBOR NONPARAMETRIC REGRESSION
    ALTMAN, NS
    AMERICAN STATISTICIAN, 1992, 46 (03): : 175 - 185
  • [38] Competing against the Best Nearest Neighbor Filter in Regression
    Dalalyan, Arnak S.
    Salmon, Joseph
    ALGORITHMIC LEARNING THEORY, 2011, 6925 : 129 - 143
  • [39] Dimension reduction for regression estimation with nearest neighbor method
    Cadre, Benoit
    Dong, Qian
    ELECTRONIC JOURNAL OF STATISTICS, 2010, 4 : 436 - 460
  • [40] CONSISTENCY OF A RECURSIVE NEAREST NEIGHBOR REGRESSION FUNCTION ESTIMATE
    DEVROYE, L
    WISE, GL
    JOURNAL OF MULTIVARIATE ANALYSIS, 1980, 10 (04) : 539 - 550
12345