Empirical likelihood for partial linear models

被引:1
|
作者
Qi-Hua Wang
Bing-Yi Jing
机构
[1] Chinese Academy of Science,Academy of Mathematics and System Science
[2] China and Heilongjiang University,Department of Mathematics
[3] Hong Kong University of Science and Technology,undefined
来源
Annals of the Institute of Statistical Mathematics | 2003年 / 55卷
关键词
Empirical likelihood; partial linear model; Wilks' theorem;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper the empirical likelihood method due to Owen (1988,Biometrika,75, 237–249) is applied to partial linear random models. A nonparametric version of Wilks' theorem is derived. The theorem is then used to construct confidence regions of the parameter vector in the partial linear models, which has correct asymptotic coverage. A simulation study is conducted to compare the empirical likelihood and normal approximation based method.
引用
收藏
页码:585 / 595
页数:10
相关论文
共 50 条
  • [31] Empirical Likelihood Inference of the Partial Linear Isotonic Errors-in-variables Regression Models with Missing Data
    Sun, Zhimeng
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2016, 45 (02) : 671 - 688
  • [32] Empirical likelihood for semiparametric varying-coefficient partially linear regression models
    You, JH
    Zhou, Y
    STATISTICS & PROBABILITY LETTERS, 2006, 76 (04) : 412 - 422
  • [33] Weighted-Correct Empirical likelihood for Linear EV Models
    Jiang, Yuying
    Zhu, Xiaofeng
    NATURAL RESOURCES AND SUSTAINABLE DEVELOPMENT II, PTS 1-4, 2012, 524-527 : 3884 - 3887
  • [34] Empirical likelihood for partly linear models with errors in all variables
    Yan, Li
    Chen, Xia
    JOURNAL OF MULTIVARIATE ANALYSIS, 2014, 130 : 275 - 288
  • [35] Weighted empirical likelihood for generalized linear models with longitudinal data
    Bai, Yang
    Fung, Wing Kam
    Zhu, Zhongyi
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (11) : 3446 - 3456
  • [36] Empirical Likelihood in Generalized Linear Models with Working Covariance Matrix
    Xiu-qing Zhou
    Qi-bing Gao
    Chun-hua Zhu
    Xiu-li Du
    Liu-liu Mao
    Acta Mathematicae Applicatae Sinica, English Series, 2022, 38 : 87 - 97
  • [37] Block empirical likelihood for longitudinal partially linear regression models
    You, JH
    Chen, GM
    Zhou, Y
    CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2006, 34 (01): : 79 - 96
  • [38] Empirical Likelihood in Generalized Linear Models with Working Covariance Matrix
    Zhou, Xiu-qing
    Gao, Qi-bing
    Zhu, Chun-hua
    Du, Xiu-li
    Mao, Liu-liu
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2022, 38 (01): : 87 - 97
  • [39] Empirical likelihood inference for generalized additive partially linear models
    Liu, Rong
    Zhao, Yichuan
    TEST, 2021, 30 (03) : 569 - 585
  • [40] Robust empirical likelihood for linear models under median constraints
    Shi, J
    Lau, TS
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1999, 28 (10) : 2465 - 2476