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Volumn 97, Issue 2, 2006, Pages 492-513

An asymptotic expansion of the distribution of Rao's U-statistic under a general condition

Author keywords

Characteristic function; Multivariate cumulants; Multivariate Hermite polynomials; Multivariate kurtosis; Multivariate skewness; Rao's U statistic

Indexed keywords


EID: 29444436839     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2005.03.012     Document Type: Article
Times cited : (10)

References (22)
  • 2
    • 29444439309 scopus 로고    scopus 로고
    • 2 when sampling from a contaminated normal model: Robustness and outliers
    • 2 when sampling from a contaminated normal model: Robustness and outliers Random Oper. Stochastic Equations 10 2002 89-103
    • (2002) Random Oper. Stochastic Equations , vol.10 , pp. 89-103
    • Amey, A.K.A.1    Gupta, A.K.2
  • 4
    • 0000931301 scopus 로고
    • On the validity of the formal Edgeworth expansion
    • R.N. Bhattacharya J.K. Ghosh On the validity of the formal Edgeworth expansion Ann. Statist. 6 1978 434-451
    • (1978) Ann. Statist. , vol.6 , pp. 434-451
    • Bhattacharya, R.N.1    Ghosh, J.K.2
  • 6
    • 0036839625 scopus 로고    scopus 로고
    • Asymptotic expansions for the distributions for multivariate basic statistics and one-way MANOVA tests under nonnormality
    • Y. Fujikoshi Asymptotic expansions for the distributions for multivariate basic statistics and one-way MANOVA tests under nonnormality J. Statist. Plann. Inference 108 2002 263-282
    • (2002) J. Statist. Plann. Inference , vol.108 , pp. 263-282
    • Fujikoshi, Y.1
  • 7
    • 85179793644 scopus 로고    scopus 로고
    • Some recent results on asymptotic expansions of multivariate test statistics for mean vectors under non-normality
    • (Special 4th Triennial Proceedings Volume), Nos. 205-208
    • Y. Fujikoshi, Some recent results on asymptotic expansions of multivariate test statistics for mean vectors under non-normality, Calcutta Statistical Association Bulletin, vol. 52 (Special 4th Triennial Proceedings Volume), Nos. 205-208, 2002, pp. 1-46.
    • (2002) Calcutta Statistical Association Bulletin , vol.52 , pp. 1-46
    • Fujikoshi, Y.1
  • 9
    • 0347668929 scopus 로고    scopus 로고
    • 2 and multiple and partial correlation coefficients for the mixture of the multivariate Gaussian populations
    • 2 and multiple and partial correlation coefficients for the mixture of the multivariate Gaussian populations Statistics 32 1999 331-339
    • (1999) Statistics , vol.32 , pp. 331-339
    • Gupta, A.K.1    Kabe, D.G.2
  • 10
    • 29444432070 scopus 로고
    • Asymptotic expansion of the non-null distribution of likelihood ratio statistic for testing multisample sphericity
    • A.K. Gupta D.K. Nagar Asymptotic expansion of the non-null distribution of likelihood ratio statistic for testing multisample sphericity Comm. Statist. Theory-Methods 17 1988 3145-3156
    • (1988) Comm. Statist. Theory-Methods , vol.17 , pp. 3145-3156
    • Gupta, A.K.1    Nagar, D.K.2
  • 12
    • 0031591327 scopus 로고    scopus 로고
    • 2 -statistic under the elliptical distribution
    • 2 -statistic under the elliptical distribution J. Statist. Plann. Inference 61 1997 85-104
    • (1997) J. Statist. Plann. Inference , vol.61 , pp. 85-104
    • Iwashita, T.1
  • 13
    • 0037848605 scopus 로고    scopus 로고
    • A skew extension of the t-distribution, with applications
    • M.C. Jones M.J. Faddy A skew extension of the t-distribution, with applications J. Roy. Statist. Soc. B. Part 1 65 2003 159-174
    • (2003) J. Roy. Statist. Soc. B. , vol.65 , Issue.PART 1 , pp. 159-174
    • Jones, M.C.1    Faddy, M.J.2
  • 14
    • 0029491169 scopus 로고
    • 2 -statistic under general condition
    • 2 -statistic under general condition Amer. J. Math. Manage. Sci. 15 1995 317-341
    • (1995) Amer. J. Math. Manage. Sci. , vol.15 , pp. 317-341
    • Kano, Y.1
  • 16
    • 84913351436 scopus 로고
    • Tests of significance in multivariate analysis
    • C.R. Rao Tests of significance in multivariate analysis Biometrika 35 1948 58-79
    • (1948) Biometrika , vol.35 , pp. 58-79
    • Rao, C.R.1
  • 22
    • 0011089869 scopus 로고    scopus 로고
    • Asymptotic expansion of the joint distribution of sample mean vector and sample covariance matrix from an elliptical population
    • H. Wakaki Asymptotic expansion of the joint distribution of sample mean vector and sample covariance matrix from an elliptical population Hiroshima Math. J. 27 1997 295-305
    • (1997) Hiroshima Math. J. , vol.27 , pp. 295-305
    • Wakaki, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.