A conditional independence test for dependent data based on maximal conditional correlation

被引:4
|
作者
Cheng, Yu-Hsiang [1 ]
Huang, Tzee-Ming [1 ]
机构
[1] Natl Chengchi Univ, Dept Stat, Taipei 116, Taiwan
关键词
Conditional independence test; alpha-mixing; Maximal conditional nonlinear correlation;
D O I
10.1016/j.jmva.2012.01.017
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 Huang (2010) [8], a test of conditional independence based on maximal nonlinear conditional correlation is proposed and the asymptotic distribution for the test statistic under conditional independence is established for IID data. In this paper, we derive the asymptotic distribution for the test statistic under conditional independence for alpha-mixing data. The results of simulation show that the test performs reasonably well for dependent data. We also apply the test to stock index data to test Granger noncausality between returns and trading volume. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:210 / 226
页数:17
相关论文
共 50 条
  • [21] Conditional independence of blocked ordered data
    Iliopoulos, G.
    Balakrishnan, N.
    STATISTICS & PROBABILITY LETTERS, 2009, 79 (08) : 1008 - 1015
  • [22] On the application of conditional independence to ordinal data
    Wermuth, N
    Cox, DR
    INTERNATIONAL STATISTICAL REVIEW, 1998, 66 (02) : 181 - 199
  • [23] A CONDITIONAL DISTRIBUTION FUNCTION BASED APPROACH TO DESIGN NONPARAMETRIC TESTS OF INDEPENDENCE AND CONDITIONAL INDEPENDENCE
    Seth, Sohan
    Principe, Jose C.
    2010 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, 2010, : 2066 - 2069
  • [24] A nonparametric Hellinger metric test for conditional independence
    Su, Liangjun
    White, Halbert
    ECONOMETRIC THEORY, 2008, 24 (04) : 829 - 864
  • [25] Approximate Conditional Independence Test using Residuals
    Uda, Shinsuke
    ICAART: PROCEEDINGS OF THE 12TH INTERNATIONAL CONFERENCE ON AGENTS AND ARTIFICIAL INTELLIGENCE, VOL 2, 2020, : 297 - 304
  • [26] CONDITIONAL-INDEPENDENCE IN A CLUSTERED ITEM TEST
    BELL, RC
    PATTISON, PE
    WITHERS, GP
    APPLIED PSYCHOLOGICAL MEASUREMENT, 1988, 12 (01) : 15 - 26
  • [27] Self-Discrepancy Conditional Independence Test
    Lee, Sanghack
    Honavar, Vasant
    CONFERENCE ON UNCERTAINTY IN ARTIFICIAL INTELLIGENCE (UAI2017), 2017,
  • [28] Bayesian test of independence and conditional independence of two ordinal variables
    Zahra Saberi
    Mojtab Ganjali
    Journal of Statistical Theory and Applications, 2015, 14 (2): : 156 - 168
  • [29] Model-Powered Conditional Independence Test
    Sen, Rajat
    Suresh, Ananda Theertha
    Shanmugam, Karthikeyan
    Dimakis, Alexandros G.
    Shakkottai, Sanjay
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 30 (NIPS 2017), 2017, 30
  • [30] A CONDITIONAL TEST OF INDEPENDENCE OF MARKOV-CHAINS
    SOLOW, AR
    SMITH, WK
    RECCHIA, C
    BIOMETRICAL JOURNAL, 1995, 37 (08) : 973 - 977