Semiparametric empirical likelihood tests in varying coefficient partially linear models with repeated measurements

被引:2
|
作者
Zhao, Peixin [1 ]
Yang, Yiping [2 ]
机构
[1] Hechi Univ, Coll Math & Stat, Yizhou 546300, Guangxi, Peoples R China
[2] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
基金
中国国家自然科学基金;
关键词
Varying coefficient partially linear model; Repeated measurement; Empirical likelihood test; Wilks phenomenon; OF-FIT TEST; LONGITUDINAL DATA; REGRESSION; INFERENCES;
D O I
10.1016/j.stamet.2014.10.003
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
Varying coefficient partially linear models are commonly used for analyzing data measured repeatedly, such as longitudinal data and panel data. In this paper, the testing problem for varying coefficient partially linear models with repeated measurements is investigated. Based on the empirical likelihood method, the test statistics are constructed for some testing problems. The Wilks phenomenon of these test statistics is proved, and then the rejection regions are constructed. Some simulation studies are undertaken to investigate the power of the empirical likelihood based testing method. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:73 / 87
页数:15
相关论文
共 50 条
  • [31] Empirical Likelihood Based Variable Selection for Varying Coefficient Partially Linear Models with Censored Data
    Peixin ZHAO
    Journal of Mathematical Research with Applications, 2013, (04) : 493 - 504
  • [32] Empirical Likelihood Based Variable Selection for Varying Coefficient Partially Linear Models with Censored Data
    Peixin ZHAO
    数学研究及应用, 2013, 33 (04) : 493 - 504
  • [33] Semiparametric quantile estimation for varying coefficient partially linear measurement errors models
    Zhang, Jun
    Zhou, Yan
    Cui, Xia
    Xu, Wangli
    BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, 2018, 32 (03) : 616 - 656
  • [34] Testing Serial Correlation in Semiparametric Varying-Coefficient Partially Linear Models
    Hu, Xuemei
    Wang, Zhizhong
    Liu, Feng
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2009, 38 (13) : 2145 - 2163
  • [35] Weighted empirical likelihood for heteroscedastic varying coefficient partially non-linear models with missing data
    Fan, Guo-Liang
    Wang, Lu-Lu
    Xu, Hong-Xia
    STAT, 2021, 10 (01):
  • [36] Empirical likelihood inference for semi-parametric varying-coefficient partially linear EV models
    Xiuli Wang
    Gaorong Li
    Lu Lin
    Metrika, 2011, 73 : 171 - 185
  • [37] Empirical likelihood inference for semi-parametric varying-coefficient partially linear EV models
    Wang, Xiuli
    Li, Gaorong
    Lin, Lu
    METRIKA, 2011, 73 (02) : 171 - 185
  • [38] A new orthogonality empirical likelihood for varying coefficient partially linear instrumental variable models with longitudinal data
    Zhao, Peixin
    Zhou, Xiaoshuang
    Wang, Xiuli
    Huang, Xingshou
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2020, 49 (12) : 3328 - 3344
  • [39] Semiparametric partially linear varying coefficient modal regression✩
    Ullah, Aman
    Wang, Tao
    Yao, Weixin
    JOURNAL OF ECONOMETRICS, 2023, 235 (02) : 1001 - 1026
  • [40] Empirical likelihood for a varying coefficient partially linear model with diverging number of parameters
    Li, Gaorong
    Lin, Lu
    Zhu, Lixing
    JOURNAL OF MULTIVARIATE ANALYSIS, 2012, 105 (01) : 85 - 111