Testing Serial Correlation in Partial Linear Errors-in-Variables Models Based on Empirical Likelihood

被引:15
|
作者
Liu, Feng [2 ]
Chen, Gemai [3 ]
Chen, Min [1 ]
机构
[1] Chinese Acad Sci, Acad Mathemat & Syst Sci, Beijing 100080, Peoples R China
[2] Chongqing Inst Technol, Dept Stat, Chongqing, Peoples R China
[3] Univ Calgary, Dept Mathemat & Stat, Calgary, AB, Canada
基金
中国国家自然科学基金;
关键词
Empirical likelihood; Errors-in-variables; Partial linear model; Serial correlation; Wilks' theorem;
D O I
10.1080/03610920801893780
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
In this article, we propose an empirical likelihood-based test to check the existence of serial correlation in partial linear errors-in-variables models. A nonparametric version of Wilks' theorem is derived, which says that our proposed test has an asymptotic chi-square distribution. Simulation results reveal that the finite sample performance of our proposed test is satisfactory in both size and power.
引用
收藏
页码:1905 / 1918
页数:14
相关论文
共 50 条
  • [1] Testing Serial Correlation in Partially Linear Additive Errors-in-variables Models
    Yang, Jin
    Guo, Shuang
    Wei, Chuanhua
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2016, 45 (09) : 3114 - 3127
  • [2] Empirical Likelihood for a Heteroscedastic Partial Linear Errors-in-Variables Model
    Fan, Guo-Liang
    Liang, Han-Ying
    Wang, Jiang-Feng
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2012, 41 (01) : 108 - 127
  • [3] Penalized empirical likelihood for partially linear errors-in-variables models
    Chen, Xia
    Mao, Liyue
    [J]. ASTA-ADVANCES IN STATISTICAL ANALYSIS, 2020, 104 (04) : 597 - 623
  • [4] Penalized empirical likelihood for partially linear errors-in-variables models
    Xia Chen
    Liyue Mao
    [J]. AStA Advances in Statistical Analysis, 2020, 104 : 597 - 623
  • [5] Empirical likelihood for partially linear additive errors-in-variables models
    Wei, Chuanhua
    Luo, Yubo
    Wu, Xizhi
    [J]. STATISTICAL PAPERS, 2012, 53 (02) : 485 - 496
  • [6] Empirical likelihood for partially linear additive errors-in-variables models
    Chuanhua Wei
    Yubo Luo
    Xizhi Wu
    [J]. Statistical Papers, 2012, 53 : 485 - 496
  • [7] Empirical likelihood based diagnostics for heteroscedasticity in partially linear errors-in-variables models
    Wong, Heung
    Liu, Feng
    Chen, Min
    Ip, Wai Cheung
    [J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2009, 139 (03) : 916 - 929
  • [8] Testing Serial Correlation in Partially Linear Single-Index Errors-in-Variables Models
    Liu, Xiaohui
    Wang, Zhizhong
    Hu, Xuemei
    Wang, Guofu
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2011, 40 (14) : 2554 - 2573
  • [9] Empirical Likelihood Inference of the Partial Linear Isotonic Errors-in-variables Regression Models with Missing Data
    Sun, Zhimeng
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2016, 45 (02) : 671 - 688
  • [10] Empirical Likelihood for Partially Linear Errors-in-variables Models with Longitudinal Data
    Li Yan
    Xiao-yan Tan
    Xia Chen
    [J]. Acta Mathematicae Applicatae Sinica, English Series, 2022, 38 : 664 - 683