Bootstrapping bispectra: An application to testing for departure from Gaussianity of stationary signals

被引:13
作者
Zoubir, AM [1 ]
Iskander, DR
机构
[1] Australian Telecom Res Inst, Perth, WA, Australia
[2] Curtin Univ Technol, Sch Elect & Comp Engn, Perth, WA 6001, Australia
[3] Queensland Univ Technol, Ctr Eye Res, Brisbane, Qld, Australia
关键词
bispectrum; bootstrap; Gaussianity test;
D O I
10.1109/78.747796
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We propose a bootstrap version of a bispectrum-based test for departure from Gaussianity that achieves high power while maintaining the level of significance, even for small sample sizes. The proposed procedure can be also used to set confidence bands for a measure of the bicoherence of stationary random signals.
引用
收藏
页码:880 / 884
页数:5
相关论文
共 15 条
[1]  
[Anonymous], 1981, Time series data analysis and theory, DOI 10.1201/b15288-24
[2]  
Boashash B., 1995, HIGHER ORDER STAT SI
[3]   TRISPECTRAL ANALYSIS OF STATIONARY RANDOM TIME-SERIES [J].
DALLEMOLLE, JW ;
HINICH, MJ .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1995, 97 (05) :2963-2978
[4]   TESTING THAT A STATIONARY TIME-SERIES IS GAUSSIAN [J].
EPPS, TW .
ANNALS OF STATISTICS, 1987, 15 (04) :1683-1698
[5]  
ERFRON B, 1993, INTRO BOOTSTRAP
[6]  
GASSER T, 1975, BIOMETRIKA, V62, P563, DOI 10.1093/biomet/62.3.563
[7]   TIME-DOMAIN TESTS FOR GAUSSIANITY AND TIME-REVERSIBILITY [J].
GIANNAKIS, GB ;
TSATSANIS, MK .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (12) :3460-3472
[8]  
Hinich MJ., 1982, J TIME A, V3, P169, DOI [DOI 10.1111/J.1467-9892.1982.TB00339.X, 10.1111/j.1467-9892.1982.tb00339.x]
[9]  
KOUTROUVELIS IA, 1980, BIOMETRIKA, V67, P238
[10]   Time-domain procedures for testing that a stationary time-series is Gaussian [J].
Moulines, E ;
Choukri, K .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1996, 44 (08) :2010-2025