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Volumn 70, Issue 3, 2009, Pages 315-338

Theoretical efficiency comparisons of independence tests based on multivariate versions of Spearman's rho

Author keywords

Contiguous sequences; Empirical copula process; Spearman's rho

Indexed keywords


EID: 70349635334     PISSN: 00261335     EISSN: 1435926X     Source Type: Journal    
DOI: 10.1007/s00184-008-0194-3     Document Type: Article
Times cited : (12)

References (28)
  • 1
    • 33746878517 scopus 로고    scopus 로고
    • A multivariate nonparametric test of independence
    • Bakirov NK, Rizzo ML, Székely GJ (2006) A multivariate nonparametric test of independence. J Multivar Anal 97: 1742-1756.
    • (2006) J Multivar Anal , vol.97 , pp. 1742-1756
    • Bakirov, N.K.1    Rizzo, M.L.2    Székely, G.J.3
  • 2
    • 33846592985 scopus 로고
    • Corrélation des épreuves physiques
    • Binet A, Vaschide N (1897) Corrélation des épreuves physiques. L'année Psychologique 4: 142-172.
    • (1897) L'année Psychologique , vol.4 , pp. 142-172
    • Binet, A.1    Vaschide, N.2
  • 3
    • 0000360523 scopus 로고
    • Distribution free tests of independence based on the sample distribution function
    • Blum JR, Kiefer J, Rosenblatt M (1961) Distribution free tests of independence based on the sample distribution function. Ann Math Stat 32: 485-498.
    • (1961) Ann Math Stat , vol.32 , pp. 485-498
    • Blum, J.R.1    Kiefer, J.2    Rosenblatt, M.3
  • 4
    • 0345570052 scopus 로고
    • La fonction de dépendance empirique et ses propriétés: Un test non paramétrique d'indépendance
    • Deheuvels P (1979) La fonction de dépendance empirique et ses propriétés: Un test non paramétrique d'indépendance. Acad Royal Bel, Bull Class Sci 65: 274-292.
    • (1979) Acad Royal Bel, Bull Class Sci , vol.65 , pp. 274-292
    • Deheuvels, P.1
  • 5
    • 0000429471 scopus 로고
    • An asymptotic decomposition for multivariate distribution-free tests of independence
    • Deheuvels P (1981) An asymptotic decomposition for multivariate distribution-free tests of independence. J Multivar Anal 11: 102-113.
    • (1981) J Multivar Anal , vol.11 , pp. 102-113
    • Deheuvels, P.1
  • 6
    • 0345650607 scopus 로고
    • Sur des tests d'indépendance "indépendants de la loi
    • Dugué D (1975) Sur des tests d'indépendance "indépendants de la loi". C R Acad Sci Paris Sér A-B 281: A1103-A1104.
    • (1975) C R Acad Sci Paris Sér A-B , vol.281
    • Dugué, D.1
  • 7
    • 20444459804 scopus 로고    scopus 로고
    • Weak convergence of empirical copula processes
    • Fermanian J-D, Radulović D, Wegkamp M (2004) Weak convergence of empirical copula processes. Bernoulli 10: 847-860.
    • (2004) Bernoulli , vol.10 , pp. 847-860
    • Fermanian, J.-D.1    Radulović, D.2    Wegkamp, M.3
  • 9
    • 13444252724 scopus 로고    scopus 로고
    • Tests of independence and randomness based on the empirical copula process
    • Genest C, Rémillard B (2004) Tests of independence and randomness based on the empirical copula process. Test 13: 335-370.
    • (2004) Test , vol.13 , pp. 335-370
    • Genest, C.1    Rémillard, B.2
  • 10
    • 28044448961 scopus 로고    scopus 로고
    • Local efficiency of a Cramér-von Mises test of independence
    • Genest C, Quessy J-F, Rémillard B (2006) Local efficiency of a Cramér-von Mises test of independence. J Multivar Anal 97: 274-294.
    • (2006) J Multivar Anal , vol.97 , pp. 274-294
    • Genest, C.1    Quessy, J.-F.2    Rémillard, B.3
  • 11
    • 49449096923 scopus 로고    scopus 로고
    • Asymptotic local efficiency of Cramér-von Mises tests for multivariate independence
    • Genest C, Quessy J-F, Rémillard B (2007) Asymptotic local efficiency of Cramér-von Mises tests for multivariate independence. Ann Stat 35: 166-191.
    • (2007) Ann Stat , vol.35 , pp. 166-191
    • Genest, C.1    Quessy, J.-F.2    Rémillard, B.3
  • 12
    • 0035192969 scopus 로고    scopus 로고
    • A nonparametric test of serial independence for time series and residuals
    • Ghoudi K, Kulperger RJ, Rémillard B (2001) A nonparametric test of serial independence for time series and residuals. J Multivar Anal 79: 191-218.
    • (2001) J Multivar Anal , vol.79 , pp. 191-218
    • Ghoudi, K.1    Kulperger, R.J.2    Rémillard, B.3
  • 13
    • 0031497765 scopus 로고    scopus 로고
    • A nonparametric test of independence between two vectors
    • Gieser PW, Randles RH (1997) A nonparametric test of independence between two vectors. J Amer Stat Assoc 92: 561-567.
    • (1997) J Amer Stat Assoc , vol.92 , pp. 561-567
    • Gieser, P.W.1    Randles, R.H.2
  • 15
    • 0001744704 scopus 로고
    • A class of statistics with asymptotically normal distribution
    • Hoeffding W (1948) A class of statistics with asymptotically normal distribution. Ann Math Stat 19: 293-325.
    • (1948) Ann Math Stat , vol.19 , pp. 293-325
    • Hoeffding, W.1
  • 17
    • 38249016191 scopus 로고
    • Multivariate concordance
    • Joe H (1990) Multivariate concordance. J Multivar Anal 35: 12-30.
    • (1990) J Multivar Anal , vol.35 , pp. 12-30
    • Joe, H.1
  • 20
    • 26944433985 scopus 로고
    • Bahadur efficiency and local asymptotic optimality of some nonparametric independence tests
    • Nikitin YY, Pankrashova AG (1990) Bahadur efficiency and local asymptotic optimality of some nonparametric independence tests. J Soviet Math 52: 2942-2955.
    • (1990) J Soviet Math , vol.52 , pp. 2942-2955
    • Nikitin, Y.Y.1    Pankrashova, A.G.2
  • 21
    • 0011109653 scopus 로고
    • Asymptotic normality of multivariate linear rank statistics in the non-i.i.d. case
    • Ruymgaart FH, Zuijlen MCA (1978) Asymptotic normality of multivariate linear rank statistics in the non-i.i.d. case. Ann Stat 6: 588-602.
    • (1978) Ann Stat , vol.6 , pp. 588-602
    • Ruymgaart, F.H.1    van Zuijlen, M.C.A.2
  • 22
    • 33845872306 scopus 로고    scopus 로고
    • Multivariate extensions of Spearman's rho and related statistics
    • Schmid F, Schmidt R (2007) Multivariate extensions of Spearman's rho and related statistics. Stat Probab Lett 77: 407-416.
    • (2007) Stat Probab Lett , vol.77 , pp. 407-416
    • Schmid, F.1    Schmidt, R.2
  • 23
    • 0002965815 scopus 로고
    • The proof and measurement of association between two things
    • Spearman C (1904) The proof and measurement of association between two things. Am J Psychol 15: 88.
    • (1904) Am J Psychol , vol.15 , pp. 88
    • Spearman, C.1
  • 24
    • 33746930153 scopus 로고    scopus 로고
    • Multivariate rank tests for independence and their asymptotic efficiency
    • Stepanova NA (2003) Multivariate rank tests for independence and their asymptotic efficiency. Math Methods Stat 12: 197-217.
    • (2003) Math Methods Stat , vol.12 , pp. 197-217
    • Stepanova, N.A.1
  • 25
    • 18844440074 scopus 로고    scopus 로고
    • Multivariate nonparametric tests of independence
    • Taskinen S, Oja H, Randles RH (2005) Multivariate nonparametric tests of independence. J Am Stat Assoc 100: 916-925.
    • (2005) J Am Stat Assoc , vol.100 , pp. 916-925
    • Taskinen, S.1    Oja, H.2    Randles, R.H.3
  • 26
    • 27744535723 scopus 로고    scopus 로고
    • Semiparametric estimation in copula models
    • Tsukahara H (2005) Semiparametric estimation in copula models. Can J Stat 33: 357-375.
    • (2005) Can J Stat , vol.33 , pp. 357-375
    • Tsukahara, H.1
  • 28
    • 0010425870 scopus 로고
    • N-Dimensional measures of dependence
    • Wolff EF (1980) n-Dimensional measures of dependence. Stochastica 4: 175-188.
    • (1980) Stochastica , vol.4 , pp. 175-188
    • Wolff, E.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.