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Volumn 15, Issue 4-5, 2003, Pages 403-419

Inference based on the affine invariant multivariate Mann-Whitney-Wilcoxon statistic

Author keywords

Multivariate median; Multivariate rank test; Multivariate shift estimate

Indexed keywords


EID: 0242720031     PISSN: 10485252     EISSN: None     Source Type: Journal    
DOI: 10.1080/1048525031000120242     Document Type: Article
Times cited : (4)

References (27)
  • 1
    • 21844489185 scopus 로고
    • Estimators related to U-processes with applications to multivariate medians: Asymptotic normality
    • Arcones, M. A., Chen, Z. and Gine, E. (1994). Estimators related to U-processes with applications to multivariate medians: Asymptotic normality. Ann. Stat., 22, 1460-1477.
    • (1994) Ann. Stat. , vol.22 , pp. 1460-1477
    • Arcones, M.A.1    Chen, Z.2    Gine, E.3
  • 2
    • 0002476010 scopus 로고
    • Affine invariant rank methods in the bivariate location model
    • Brown, B. M. and Hettmansperger, T. P. (1987). Affine invariant rank methods in the bivariate location model. J. Roy. Statist. Soc. Ser. B, 49, 301-310.
    • (1987) J. Roy. Statist. Soc. Ser. B , vol.49 , pp. 301-310
    • Brown, B.M.1    Hettmansperger, T.P.2
  • 3
    • 0009237532 scopus 로고    scopus 로고
    • On affine equivariant sign and rank tests in one and two sample multivariate problems
    • Ghosh, S. (Ed.). Marcel Dekker, New York
    • Chakraborty, B. and Chaudhuri, P. (1999). On affine equivariant sign and rank tests in one and two sample multivariate problems. In: Ghosh, S. (Ed.), Multivariate Analysis, Design of Experiments and Survey Sampling. Marcel Dekker, New York.
    • (1999) Multivariate Analysis, Design of Experiments and Survey Sampling
    • Chakraborty, B.1    Chaudhuri, P.2
  • 4
    • 0032365498 scopus 로고    scopus 로고
    • Operating transformation retransformation on spatial median and angle test
    • Chakraborty, B., Chaudhuri, P. and Oja, H. (1998). Operating transformation retransformation on spatial median and angle test. Stat. Sinica, 8, 767-784.
    • (1998) Stat. Sinica , vol.8 , pp. 767-784
    • Chakraborty, B.1    Chaudhuri, P.2    Oja, H.3
  • 5
    • 0000486478 scopus 로고
    • Multivariate location estimation using extension of R-estimates through U-statistics type approach
    • Chaudhuri, P. (1992). Multivariate location estimation using extension of R-estimates through U-statistics type approach. Ann. Statist., 20, 897-916.
    • (1992) Ann. Statist. , vol.20 , pp. 897-916
    • Chaudhuri, P.1
  • 9
    • 0542400738 scopus 로고    scopus 로고
    • Affine invariant multivariate rank test for several samples
    • Hettmansperger, T. P., Möttönen, J. and Oja, H. (1998). Affine invariant multivariate rank test for several samples. Statist. Sinica, 8, 785-800.
    • (1998) Statist. Sinica , vol.8 , pp. 785-800
    • Hettmansperger, T.P.1    Möttönen, J.2    Oja, H.3
  • 10
    • 0042213941 scopus 로고    scopus 로고
    • The geometry of the affine invariant multivariate sign and rank methods
    • Hettmansperger, T. P., Möttönen, J. and Oja, H. (1999). The geometry of the affine invariant multivariate sign and rank methods. J. Nonparametr. Statist., 11, 271-285.
    • (1999) J. Nonparametr. Statist. , vol.11 , pp. 271-285
    • Hettmansperger, T.P.1    Möttönen, J.2    Oja, H.3
  • 12
    • 84947403595 scopus 로고
    • Probabilities inequalities for sums of bounded random variables
    • Hoeffding, W. (1963). Probabilities inequalities for sums of bounded random variables. J. Amer. Statist. Assoc., 58, 13-30.
    • (1963) J. Amer. Statist. Assoc. , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 14
    • 0040598406 scopus 로고
    • A quality index based on data depth and multivariate rank test
    • Liu, R. Y. and Singh, K. (1993). A quality index based on data depth and multivariate rank test. J. Amer. Statist. Assoc., 88, 252-260.
    • (1993) J. Amer. Statist. Assoc. , vol.88 , pp. 252-260
    • Liu, R.Y.1    Singh, K.2
  • 17
    • 0000354169 scopus 로고
    • Multivariate spatial sign and rank tests
    • Möttönen, J. and Oja, H. (1995). Multivariate spatial sign and rank tests. J. Nonparamtr. Statist., 5, 201-213.
    • (1995) J. Nonparamtr. Statist. , vol.5 , pp. 201-213
    • Möttönen, J.1    Oja, H.2
  • 18
    • 0031490487 scopus 로고    scopus 로고
    • On the efficiency of multivariate spatial sign and rank tests
    • Möttönen, J., Oja, H. and Tienari, J. (1997). On the efficiency of multivariate spatial sign and rank tests. Ann. Statist., 25, 542-552.
    • (1997) Ann. Statist. , vol.25 , pp. 542-552
    • Möttönen, J.1    Oja, H.2    Tienari, J.3
  • 19
    • 0000107573 scopus 로고
    • Descriptive statistics for multivariate distributions
    • Oja, H. (1983). Descriptive statistics for multivariate distributions. Stat. Probab. Lett., 1, 327-332.
    • (1983) Stat. Probab. Lett. , vol.1 , pp. 327-332
    • Oja, H.1
  • 20
    • 0033196316 scopus 로고    scopus 로고
    • Affine invariant multivariate sign and rank tests and corresponding estimates: A review
    • Oja, H. (1999). Affine invariant multivariate sign and rank tests and corresponding estimates: A review. Scand. J. Statist., 26, 319-343.
    • (1999) Scand. J. Statist. , vol.26 , pp. 319-343
    • Oja, H.1
  • 21
    • 0000369455 scopus 로고
    • A class of the distribution-free two-sample tests based on placements
    • Orban, J. and Wolfe, D. A. (1982). A class of the distribution-free two-sample tests based on placements. J. Amer. Statist. Assoc., 77, 666-672.
    • (1982) J. Amer. Statist. Assoc. , vol.77 , pp. 666-672
    • Orban, J.1    Wolfe, D.A.2
  • 23
    • 0001203643 scopus 로고
    • A two sample extension of the multivariate interdirection sign test
    • Dodge, Y. (Ed.). North Holland, Amsterdam
    • Randles, R. H. (1992). A two sample extension of the multivariate interdirection sign test. In: Dodge, Y. (Ed.), L1-Statistical Analysis and Related Methods. North Holland, Amsterdam, pp. 295-302.
    • (1992) L1-statistical Analysis and Related Methods , pp. 295-302
    • Randles, R.H.1
  • 24
    • 84948273332 scopus 로고
    • Multivariate rank tests for the two-sample location problem
    • Randles, R. H. and Peters, D. (1990). Multivariate rank tests for the two-sample location problem. Comm. Statist. Theory Methods, 15(11), 4225-4238.
    • (1990) Comm. Statist. Theory Methods , vol.15 , Issue.11 , pp. 4225-4238
    • Randles, R.H.1    Peters, D.2
  • 25
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar, R. T. (1970). Convex Analysis. Princeton University Press, Princeton, NJ.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.