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Volumn 117, Issue , 2013, Pages 193-213

The distance correlation t -test of independence in high dimension

Author keywords

DCor; DCov; Distance correlation; Distance covariance; High dimension; Multivariate independence

Indexed keywords


EID: 84875118601     PISSN: 0047259X     EISSN: 10957243     Source Type: Journal    
DOI: 10.1016/j.jmva.2013.02.012     Document Type: Article
Times cited : (287)

References (19)
  • 2
    • 0000783733 scopus 로고
    • The distribution of quadratic forms in a normal system, with applications to the analysis of covariance
    • Cochran W.G. The distribution of quadratic forms in a normal system, with applications to the analysis of covariance. Math. Proc. Cambridge Philos. Soc. 1934, 30:178-191. 10.1017/S0305004100016595.
    • (1934) Math. Proc. Cambridge Philos. Soc. , vol.30 , pp. 178-191
    • Cochran, W.G.1
  • 3
    • 84875099164 scopus 로고    scopus 로고
    • VaR: Value at Risk Estimation, R package version 0.2
    • T. Daniyarov, VaR: Value at Risk Estimation, R package version 0.2, 2004.
    • (2004)
    • Daniyarov, T.1
  • 4
    • 0001918661 scopus 로고
    • La prévision: ses lois logiques, ses sources subjectives
    • De Finetti B. La prévision: ses lois logiques, ses sources subjectives. Ann. l'Inst. Henri Poincaré 1937, 7:1-68.
    • (1937) Ann. l'Inst. Henri Poincaré , vol.7 , pp. 1-68
    • De Finetti, B.1
  • 5
    • 0001740680 scopus 로고
    • Finite exchangeable sequences
    • Diaconis P., Freedman D. Finite exchangeable sequences. Ann. Probab. 1980, 8(4):745-764.
    • (1980) Ann. Probab. , vol.8 , Issue.4 , pp. 745-764
    • Diaconis, P.1    Freedman, D.2
  • 6
    • 18844446441 scopus 로고
    • Testing independence in high dimensions
    • Heer G.R. Testing independence in high dimensions. Probab. Stat. Lett. 1991, 12(1):73-81.
    • (1991) Probab. Stat. Lett. , vol.12 , Issue.1 , pp. 73-81
    • Heer, G.R.1
  • 7
    • 33845601182 scopus 로고    scopus 로고
    • De Finetti's theorem for abstract finite exchangeable sequences
    • Kerns G.J., Székely G.J. De Finetti's theorem for abstract finite exchangeable sequences. J. Theoret. Probab. 2006, 19(3):589-608.
    • (2006) J. Theoret. Probab. , vol.19 , Issue.3 , pp. 589-608
    • Kerns, G.J.1    Székely, G.J.2
  • 8
    • 84870319865 scopus 로고    scopus 로고
    • Discussion of: Brownian distance covariance
    • Kosorok M.R. Discussion of: Brownian distance covariance. Ann. Appl. Stat. 2009, 3(4):1270-1278.
    • (2009) Ann. Appl. Stat. , vol.3 , Issue.4 , pp. 1270-1278
    • Kosorok, M.R.1
  • 9
    • 0036392431 scopus 로고    scopus 로고
    • Some hypothesis tests for the covariance matrix when the dimension is large compared to the sample size
    • Ledoit O., Wolf M. Some hypothesis tests for the covariance matrix when the dimension is large compared to the sample size. Ann. Statist. 2002, 30:1081-1102.
    • (2002) Ann. Statist. , vol.30 , pp. 1081-1102
    • Ledoit, O.1    Wolf, M.2
  • 10
    • 84866493374 scopus 로고    scopus 로고
    • Distance covariance in metric spaces
    • (in press).
    • R. Lyons, Distance covariance in metric spaces, Ann. Probab. (2012) (in press). arxiv:1106.5758.
    • (2012) Ann. Probab
    • Lyons, R.1
  • 11
    • 0001745054 scopus 로고
    • An invariance principle for ? -mixing sequences
    • Peligrad M. An invariance principle for ? -mixing sequences. Ann. Probab. 1985, 13(4):1304-1313.
    • (1985) Ann. Probab. , vol.13 , Issue.4 , pp. 1304-1313
    • Peligrad, M.1
  • 12
    • 79951480123 scopus 로고    scopus 로고
    • R Development Core Team, R Foundation for Statistical Computing, Vienna, Austria
    • R Development Core Team R: A Language and Environment for Statistical Computing 2010, R Foundation for Statistical Computing, Vienna, Austria. http://www.R-project.org.
    • (2010) R: A Language and Environment for Statistical Computing
  • 14
    • 84875090591 scopus 로고    scopus 로고
    • Energy: E-statistics (energy statistics). R package version 1.1-1
    • M.L. Rizzo, G.J. Székely, Energy: E-statistics (energy statistics). R package version 1.1-1, 2010.
    • (2010)
    • Rizzo, M.L.1    Székely, G.J.2
  • 15
    • 27944479075 scopus 로고    scopus 로고
    • Testing for complete independence in high dimensions
    • Schott J.R. Testing for complete independence in high dimensions. Biometrika 2005, 92(4):951-956.
    • (2005) Biometrika , vol.92 , Issue.4 , pp. 951-956
    • Schott, J.R.1
  • 17
    • 80052945281 scopus 로고    scopus 로고
    • Brownian distance covariance
    • Székely G.J., Rizzo M.L. Brownian distance covariance. Ann. Appl. Stat. 2009, 3(4):1236-1265.
    • (2009) Ann. Appl. Stat. , vol.3 , Issue.4 , pp. 1236-1265
    • Székely, G.J.1    Rizzo, M.L.2
  • 18
    • 84870365748 scopus 로고    scopus 로고
    • Rejoinder: Brownian distance covariance
    • Székely G.J., Rizzo M.L. Rejoinder: Brownian distance covariance. Ann. Appl. Stat. 2009, 3(4):1303-1308.
    • (2009) Ann. Appl. Stat. , vol.3 , Issue.4 , pp. 1303-1308
    • Székely, G.J.1    Rizzo, M.L.2
  • 19
    • 50849124115 scopus 로고    scopus 로고
    • Measuring and testing independence by correlation of distances
    • Székely G.J., Rizzo M.L., Bakirov N.K. Measuring and testing independence by correlation of distances. Ann. Statist. 2007, 35(6):2769-2794.
    • (2007) Ann. Statist. , vol.35 , Issue.6 , pp. 2769-2794
    • Székely, G.J.1    Rizzo, M.L.2    Bakirov, N.K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.