Smooth Test for Multivariate Normality

被引:0
|
作者
Su, Yan [1 ]
Huang, Ya-Ping [1 ]
机构
[1] North China Elect Power Univ, Sch Math & Phys, Baoding, Peoples R China
关键词
Multivariate normality; Spherical harmonic; Smooth test; Power simulation; GOODNESS-OF-FIT;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Based on the smooth test for uniformity on the surface of a unit sphere, a new test for multivariate normality is presented. The test statistic does not depend on the parameters in the multivariate normal distribution. We obtain the asymptotic null distribution of the test statistic. The test procedure for testing multivariate normality is given. Power simulation shows that the test based on all spherical harmonics of degree less than 3 offers good power against a wide variety of alternatives.
引用
收藏
页码:1690 / 1696
页数:7
相关论文
共 50 条
  • [1] Smooth Test for Multivariate Normality of Innovations in the Vector Autoregressive Model
    Su, Yan
    Zhong, Yi-Shu
    CURRENT TRENDS IN COMPUTER SCIENCE AND MECHANICAL AUTOMATION, VOL 1, 2017, : 94 - 101
  • [2] A robust test for multivariate normality
    Jonsson, Kristian
    ECONOMICS LETTERS, 2011, 113 (02) : 199 - 201
  • [3] A new test for multivariate normality
    Székely, GJ
    Rizzo, ML
    JOURNAL OF MULTIVARIATE ANALYSIS, 2005, 93 (01) : 58 - 80
  • [4] The combination test for multivariate normality
    Hwu, TJ
    Han, CP
    Rogers, KJ
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2002, 72 (05) : 379 - 390
  • [5] A powerful test for multivariate normality
    Zhou, Ming
    Shao, Yongzhao
    JOURNAL OF APPLIED STATISTICS, 2014, 41 (02) : 351 - 363
  • [8] A normality test for multivariate dependent samples
    El Bouch, Sara
    Michel, Olivier
    Comon, Pierre
    SIGNAL PROCESSING, 2022, 201
  • [9] A new graphical test for multivariate normality
    Romeu, JL
    Ozturk, A
    AMERICAN JOURNAL OF MATHEMATICAL AND MANAGEMENT SCIENCES, VOL 16, NOS 1 AND 2: MSI-2000: MULTIVARIATE STATISTICAL ANALYSIS IN HONOR OF PROFESSOR MINORU SIOTANI ON HIS 70TH BIRTHDAY, VOLUME II OF PROCEEDINGS OF THE MULTIVARIATE STATISTICAL INFERENCE 2000 CONFERENCE, 1996, 16 (1-2): : 5 - 48
  • [10] Multivariate Normality test for colored data
    Sara, El Bouch
    Olivier, Michel J. J.
    Pierre, Comon
    2022 30TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO 2022), 2022, : 2096 - 2100