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Volumn 19, Issue 3, 2009, Pages 255-269

Measuring non-linear dependence for two random variables distributed along a curve

Author keywords

Dependence measures; Independence tests; Linearity tests; Principal curves; R nyi's axioms; Similarity measures for pairs of variables

Indexed keywords


EID: 67650669052     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11222-008-9090-y     Document Type: Article
Times cited : (41)

References (28)
  • 1
    • 0001111429 scopus 로고
    • Mutual information and maximal correlation as measures of dependence
    • C. Bell 1962 Mutual information and maximal correlation as measures of dependence Ann. Math. Stat. 33 587 595
    • (1962) Ann. Math. Stat. , vol.33 , pp. 587-595
    • Bell, C.1
  • 2
    • 21144459104 scopus 로고
    • Correlation curves: Measures of association as functions of covariate value
    • S. Bjerve K. Doksum 1993 Correlation curves: Measures of association as functions of covariate value Ann. Stat. 21 890 902
    • (1993) Ann. Stat. , vol.21 , pp. 890-902
    • Bjerve, S.1    Doksum, K.2
  • 4
    • 33750083128 scopus 로고    scopus 로고
    • Some data analyses using mutual information
    • D.R. Brillinger 2004 Some data analyses using mutual information Braz. J. Probab. Stat. 18 163 183
    • (2004) Braz. J. Probab. Stat. , vol.18 , pp. 163-183
    • Brillinger, D.R.1
  • 5
    • 33750528795 scopus 로고    scopus 로고
    • Mutual information in the frequency domain
    • DOI 10.1016/j.jspi.2006.06.026, PII S0378375806001625
    • D.R. Brillinger A. Guha 2006 Mutual information in the frequency domain J. Stat. Plan. Inference 137 1076 1084 (Pubitemid 44660771)
    • (2007) Journal of Statistical Planning and Inference , vol.137 , Issue.3 , pp. 1076-1084
    • Brillinger, D.R.1    Guha, A.2
  • 6
    • 0010784436 scopus 로고    scopus 로고
    • Another Look at Principal Curves and Surfaces
    • DOI 10.1006/jmva.2000.1917, PII S0047259X00919171
    • P. Delicado 2001 Another look at principal curves and surfaces J. Multivar. Anal. 77 84 116 (Pubitemid 33633904)
    • (2001) Journal of Multivariate Analysis , vol.77 , Issue.1 , pp. 84-116
    • Delicado, P.1
  • 7
    • 0038469624 scopus 로고    scopus 로고
    • Principal curves of oriented points: Theoretical and computational improvements
    • P. Delicado M. Huerta 2003 Principal Curves of Oriented Points: Theoretical and computational improvements Comput. Stat. 18 293 315 (Pubitemid 36737512)
    • (2003) Computational Statistics , vol.18 , Issue.2 , pp. 293-315
    • Delicado, P.1    Huerta, M.2
  • 8
    • 51749103346 scopus 로고    scopus 로고
    • Mixture of nonlinear models: A Bayesian fit for principal curves
    • Orlando, Florida, USA, August 12-17 ISBN: 1-4244-1380-X
    • Delicado, P., Smrekar, M.: Mixture of nonlinear models: A Bayesian fit for principal curves. In: Proceedings of the International Joint Conference on Neural Networks, Orlando, Florida, USA, August 12-17, 2007. ISBN: 1-4244-1380-X
    • (2007) Proceedings of the International Joint Conference on Neural Networks
    • Delicado, P.1    Smrekar, M.2
  • 9
    • 33744813259 scopus 로고    scopus 로고
    • Entropy-based independence test
    • DOI 10.1007/s11071-006-2019-0
    • A. Dionísio R. Menezes D.A. Mendes 2006 Entropy-based independence test Nonlinear Dyn. 44 351 357 (Pubitemid 43839100)
    • (2006) Nonlinear Dynamics , vol.44 , Issue.1-4 , pp. 351-357
    • Dionisio, A.1    Menezes, R.2    Mendes, D.A.3
  • 10
    • 84950448742 scopus 로고
    • Correlation curves as local measures of variance explained by regression
    • K. Doksum S. Blyth E. Bradlow X. Meng H. Zhao 1994 Correlation curves as local measures of variance explained by regression J. Am. Stat. Assoc. 89 571 582
    • (1994) J. Am. Stat. Assoc. , vol.89 , pp. 571-582
    • Doksum, K.1    Blyth, S.2    Bradlow, E.3    Meng, X.4    Zhao, H.5
  • 12
    • 3943052656 scopus 로고    scopus 로고
    • A dependence metric for possibly nonlinear processes
    • DOI 10.1111/j.1467-9892.2004.01866.x
    • C.W. Granger E. Maasoumi J. Racine 2004 A dependence metric for possibly nonlinear processes J. Time Ser. Anal. 25 649 669 (Pubitemid 39051486)
    • (2004) Journal of Time Series Analysis , vol.25 , Issue.5 , pp. 649-669
    • Granger, C.W.1    Maasoumi, E.2    Racine, J.3
  • 14
    • 0001297333 scopus 로고
    • Dependence function for continuous bivariate densities
    • P. Holland Y. Wang 1987 Dependence function for continuous bivariate densities Commun. Stat. 16 863 876
    • (1987) Commun. Stat. , vol.16 , pp. 863-876
    • Holland, P.1    Wang, Y.2
  • 16
    • 0000474660 scopus 로고    scopus 로고
    • The local dependence function
    • M.C. Jones 1996 The local dependence function Biometrica 83 899 904
    • (1996) Biometrica , vol.83 , pp. 899-904
    • Jones, M.C.1
  • 18
    • 0002282074 scopus 로고
    • A new measure of rank correlation
    • M. Kendall 1938 A new measure of rank correlation Biometrika 30 81 89
    • (1938) Biometrika , vol.30 , pp. 81-89
    • Kendall, M.1
  • 19
    • 0004156740 scopus 로고    scopus 로고
    • An introduction to copulas, 2nd edn.
    • Springer New York
    • Nelsen, R.B.: An Introduction to Copulas, 2nd edn. Springer Series in Statistics. Springer, New York (2006)
    • (2006) Springer Series in Statistics
    • Nelsen, R.B.1
  • 20
    • 28444445926 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. R Foundation for Statistical Computing, Vienna, Austria (2005). http://www.R-project.org
    • (2005) R: A Language and Environment for Statistical Computing
  • 22
    • 0000830828 scopus 로고
    • Consistent nonparametric entropy-based testing
    • P.M. Robinson 1991 Consistent nonparametric entropy-based testing Rev. Econ. Stud. 58 437 453
    • (1991) Rev. Econ. Stud. , vol.58 , pp. 437-453
    • Robinson, P.M.1
  • 23
    • 0000906108 scopus 로고
    • On nonparametric measures of dependence for random variables
    • B. Schweizer E.F. Wolff 1981 On nonparametric measures of dependence for random variables Ann. Stat. 9 4 879 885
    • (1981) Ann. Stat. , vol.9 , Issue.4 , pp. 879-885
    • Schweizer, B.1    Wolff, E.F.2
  • 24
    • 84856043672 scopus 로고
    • A mathematical theory of communication
    • 623-656
    • C.E. Shannon 1948 A mathematical theory of communication Bell Syst. Tech. J. 27 379 423 623-656
    • (1948) Bell Syst. Tech. J. , vol.27 , pp. 379-423
    • Shannon, C.E.1
  • 25
    • 0002965815 scopus 로고
    • The proof and measurement of association between two things
    • C. Spearman 1904 The proof and measurement of association between two things Am. J. Psychol. 15 72 101
    • (1904) Am. J. Psychol. , vol.15 , pp. 72-101
    • Spearman, C.1
  • 26
    • 0242566048 scopus 로고    scopus 로고
    • Measures and tests of independence: A survey
    • D. Tjøstheim 1996 Measures and tests of independence: a survey Statistics 28 249 284
    • (1996) Statistics , vol.28 , pp. 249-284
    • Tjøstheim, D.1
  • 28
    • 0040199012 scopus 로고
    • Construction of continuous bivariate density functions
    • Y. Wang 1993 Construction of continuous bivariate density functions Stat. Sin. 3 173 187
    • (1993) Stat. Sin. , vol.3 , pp. 173-187
    • Wang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.