메뉴 건너뛰기




Volumn 25, Issue 9, 1996, Pages 2127-2139

Some blum-kiefer-rosenblatt type tests for the joint independence of variables

Author keywords

Bootstrap method; Number theoretic method; Projection pursuit type statistic; Test of independence

Indexed keywords


EID: 0010974886     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929608831826     Document Type: Article
Times cited : (8)

References (14)
  • 1
    • 0000455873 scopus 로고
    • Convergence sets for a multivariate distribution
    • Beran, R. and Miller, P.W. (1986). "Convergence sets for a multivariate distribution," Ann. Statist., 14(2), 431-443.
    • (1986) Ann. Statist. , vol.14 , Issue.2 , pp. 431-443
    • Beran, R.1    Miller, P.W.2
  • 2
    • 0000360523 scopus 로고
    • Distribution free tests of independence based on sample distribution function
    • Blum, J.R., Kiefer, J. and Rosenblatt, M. (1961). "Distribution free tests of independence based on sample distribution function," Ann. Math. Statist., 32(2), 485-498.
    • (1961) Ann. Math. Statist. , vol.32 , Issue.2 , pp. 485-498
    • Blum, J.R.1    Kiefer, J.2    Rosenblatt, M.3
  • 3
    • 0038968242 scopus 로고
    • Invariance principle for sums of Banach space valued random elements and empirical processes
    • Dudley, R.M., and Philipp, W.(1983). "Invariance principle for sums of Banach space valued random elements and empirical processes," Zeit. Wahrscheinl.-theorie, 62, 509-552.
    • (1983) Zeit. Wahrscheinl.-theorie , vol.62 , pp. 509-552
    • Dudley, R.M.1    Philipp, W.2
  • 4
    • 0002344794 scopus 로고
    • Bootstrap methods :Another look at the Jackknife
    • Efron, B. (1979). "Bootstrap methods :Another look at the Jackknife," Ann. Statist., 7(1), 1-26.
    • (1979) Ann. Statist. , vol.7 , Issue.1 , pp. 1-26
    • Efron, B.1
  • 5
    • 0003860442 scopus 로고
    • Chapman and Hall London, Monographs on statistics and Applied Probability, No. 51
    • Fang, K.T. and Wang, Y. (1993). Number-theoretic Methods in Statistics ,Chapman and Hall London, Monographs on statistics and Applied Probability, No. 51.
    • (1993) Number-theoretic Methods in Statistics
    • Fang, K.T.1    Wang, Y.2
  • 6
    • 0041079691 scopus 로고
    • Applications of sets of points uniformly distributed on a sphere to testing multinormality and robust estimation
    • Jiang, Z.P., Yan, S. J.,Cheng, P. and Wu, R., Eds.. World Scientific
    • Fang, K.T., Yuan, K.H. and Bentler, P.M. (1992). "Applications of sets of points uniformly distributed on a sphere to testing multinormality and robust estimation," in Probability and Statistics, (Jiang, Z.P., Yan, S. J.,Cheng, P. and Wu, R., Eds.). World Scientific, 56-73.
    • (1992) Probability and Statistics , pp. 56-73
    • Fang, K.T.1    Yuan, K.H.2    Bentler, P.M.3
  • 7
    • 0002738228 scopus 로고
    • A necessary test for sphericity of high-dimensional distribution
    • Fang, K.T., Zhu, L.X. and Bentler, P.M. (1993). "A necessary test for sphericity of high-dimensional distribution," J. Multivariate Anal., 45(1), 34-55.
    • (1993) J. Multivariate Anal. , vol.45 , Issue.1 , pp. 34-55
    • Fang, K.T.1    Zhu, L.X.2    Bentler, P.M.3
  • 8
    • 0002501936 scopus 로고
    • Lectures on the central limit theorem for empirical processes
    • Springer, Berlin
    • Giné, E. and Zinn, J. (1986). "Lectures on the central limit theorem for empirical processes," Probalilily and Banach Spaces. Lecture Notes in Math., 1221, Springer, Berlin, 50-113.
    • (1986) Probalilily and Banach Spaces. Lecture Notes in Math. , vol.1221 , pp. 50-113
    • Giné, E.1    Zinn, J.2
  • 9
    • 0012799913 scopus 로고
    • Gaussian characterization of uniform Donsker classes of functions
    • Giné, E. and Zinn, J. (1991). "Gaussian characterization of uniform Donsker classes of functions," Ann. Prob., 19(2), 758-782.
    • (1991) Ann. Prob. , vol.19 , Issue.2 , pp. 758-782
    • Giné, E.1    Zinn, J.2
  • 11
    • 0000263797 scopus 로고
    • Projection Pursuit (with discussion)
    • Huber, P.J. (1985). "Projection Pursuit (with discussion)," Ann. Statist., 13(2), 435-525.
    • (1985) Ann. Statist. , vol.13 , Issue.2 , pp. 435-525
    • Huber, P.J.1
  • 12
    • 0002746191 scopus 로고
    • Number theoretic methods in applied statistics
    • Wang, Y. and Fang, K.T. (1990). "Number theoretic methods in applied statistics," Chinese Ann. Math. Ser.B., 11(1), 51-65.
    • (1990) Chinese Ann. Math. Ser.B. , vol.11 , Issue.1 , pp. 51-65
    • Wang, Y.1    Fang, K.T.2
  • 13
    • 0012584209 scopus 로고
    • Testing sphericity of a high-dimensional distribution based on bootstrap approximation
    • Zhu, L.X., Fang, K.T., Bhatti, I.M. and Bentler, P.M. (1994). "Testing sphericity of a high-dimensional distribution based on bootstrap approximation," to appear in Pakistan J. of Statist.
    • (1994) Pakistan J. of Statist
    • Zhu, L.X.1    Fang, K.T.2    Bhatti, I.M.3    Bentler, P.M.4
  • 14
    • 0000494597 scopus 로고
    • A test for multivariate normality based on sample entropy and projection pursuit
    • Zhu, L.X., Wong, H.L. and Fang, K.T. (1995). "A test for multivariate normality based on sample entropy and projection pursuit," J. Statist. Planning Infer., 45(3), 373-385.
    • (1995) J. Statist. Planning Infer. , vol.45 , Issue.3 , pp. 373-385
    • Zhu, L.X.1    Wong, H.L.2    Fang, K.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.