Nonparametric regression on functional variable and structural tests

被引：0
|
作者：
Delsol, Laurent [1 ]
机构：
[1] Univ Toulouse, Inst Math, F-31062 Toulouse 9, France
来源：
FUNCTIONAL AND OPERATORIAL STATISTICS | 2008年
关键词：
D O I：
10.1007/978-3-7908-2062-1_23
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The aim of this talk is to highlight the usefulness of kernel methods in regression on functional variables. After reminding some asymptotic properties of the kernel estimator of the regression operator, we introduce a general framework to construct various innovative structural tests (no-effect, linearity, single-index,...). Various bootstrap procedures are implemented on datasets in order to emphasize the pertinence of such structural testing methods.
引用
收藏
页码：143 / 150
页数：8
相关论文
共 50 条
  • [41] Robust Bayesian nonparametric variable selection for linear regression
    Cabezas, Alberto
    Battiston, Marco
    Nemeth, Christopher
    STAT, 2024, 13 (02):
  • [42] A note on variable selection in nonparametric regression with dependent data
    González-Manteiga, W
    Quintela-del-Río, A
    Vieu, P
    STATISTICS & PROBABILITY LETTERS, 2002, 57 (03) : 259 - 268
  • [43] Tests for the equality of conditional variance functions in nonparametric regression
    Carlos Pardo-Fernandez, Juan
    Dolores Jimenez-Gamero, Maria
    El Ghouch, Anouar
    ELECTRONIC JOURNAL OF STATISTICS, 2015, 9 (02): : 1826 - 1851
  • [44] NONPARAMETRIC REGRESSION TESTS BASED ON LEAST-SQUARES
    YATCHEW, AJ
    ECONOMETRIC THEORY, 1992, 8 (04) : 435 - 451
  • [45] Model specification tests in nonparametric stochastic regression models
    Gao, JT
    Tong, H
    Wolff, R
    JOURNAL OF MULTIVARIATE ANALYSIS, 2002, 83 (02) : 324 - 359
  • [46] CLT and Lq errors in nonparametric functional regression
    Delsol, Laurent
    COMPTES RENDUS MATHEMATIQUE, 2007, 345 (07) : 411 - 414
  • [47] MONOTONE NONPARAMETRIC REGRESSION FOR FUNCTIONAL/LONGITUDINAL DATA
    Chen, Ziqi
    Gao, Qibing
    Fu, Bo
    Zhu, Hongtu
    STATISTICA SINICA, 2019, 29 (04) : 2229 - 2249
  • [48] Recursive estimation of nonparametric regression with functional covariate
    Amiri, Aboubacar
    Crambes, Christophe
    Thiam, Baba
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2014, 69 : 154 - 172
  • [49] Sparse nonparametric model for regression with functional covariate
    Aneiros, G.
    Vieu, P.
    JOURNAL OF NONPARAMETRIC STATISTICS, 2016, 28 (04) : 839 - 859
  • [50] On robust nonparametric regression estimation for a functional regressor
    Azzedine, Nadjia
    Laksaci, Ali
    Ould-Saied, Elias
    STATISTICS & PROBABILITY LETTERS, 2008, 78 (18) : 3216 - 3221
12345