메뉴 건너뛰기




Volumn 97, Issue 3, 2006, Pages 765-784

Measuring stochastic dependence using φ-divergence

Author keywords

divergence measures of dependence; Elliptical family of distributions; Monte Carlo methods; Multivariate dependence; Renyi's axioms

Indexed keywords


EID: 32044469148     PISSN: 0047259X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmva.2005.04.007     Document Type: Article
Times cited : (31)

References (35)
  • 1
    • 26844509071 scopus 로고
    • Association between random variables and the dispersion of a Radon-Nikodym derivative
    • M.S. Ali S.D. Silvey Association between random variables and the dispersion of a Radon-Nikodym derivative J. Roy. Statist. Soc., Ser. B 27 1965 100-107
    • (1965) J. Roy. Statist. Soc., Ser. B , vol.27 , pp. 100-107
    • Ali, M.S.1    Silvey, S.D.2
  • 2
    • 0001199215 scopus 로고
    • A general class of coefficients of divergence of one distribution from another
    • M.S. Ali S.D. Silvey A general class of coefficients of divergence of one distribution from another J. Roy. Statist. Soc., Ser. B 28 1966 131-142
    • (1966) J. Roy. Statist. Soc., Ser. B , vol.28 , pp. 131-142
    • Ali, M.S.1    Silvey, S.D.2
  • 3
    • 0001111429 scopus 로고
    • Mutual information and maximal correlation as measures of dependence
    • C.B. Bell Mutual information and maximal correlation as measures of dependence Ann. Math. Statist. 33 1962 587-595
    • (1962) Ann. Math. Statist. , vol.33 , pp. 587-595
    • Bell, C.B.1
  • 4
    • 5444224821 scopus 로고
    • The convexity with respect to Gaussian distributions of divergences of order α
    • J. Burbea The convexity with respect to Gaussian distributions of divergences of order α Utilitas Math. 26 1984 171-192
    • (1984) Utilitas Math. , vol.26 , pp. 171-192
    • Burbea, J.1
  • 5
    • 0000273265 scopus 로고
    • Superadditivity of Fisher's information and logarithmic Sobolev inequalities
    • E.A. Carlen Superadditivity of Fisher's information and logarithmic Sobolev inequalities J. Funct. Anal. 101 1991 194-211
    • (1991) J. Funct. Anal. , vol.101 , pp. 194-211
    • Carlen, E.A.1
  • 8
    • 0001856347 scopus 로고
    • Eine informations theoretische ungleichung und ihre anwendung auf den beweis der ergodizitat von markhoffschen ketten
    • I. Csiszar Eine informations theoretische ungleichung und ihre anwendung auf den beweis der ergodizitat von markhoffschen ketten Publ. Math. Inst. Hungar. Acad. Sci., Ser. A 8 1963 85-105
    • (1963) Publ. Math. Inst. Hungar. Acad. Sci., Ser. A , vol.8 , pp. 85-105
    • Csiszar, I.1
  • 9
    • 0000489740 scopus 로고
    • Information-type measures of difference of probability distributions and indirect observations
    • I. Csiszar Information-type measures of difference of probability distributions and indirect observations Studia Sci. Math. Hungar. 2 1967 299-318
    • (1967) Studia Sci. Math. Hungar. , vol.2 , pp. 299-318
    • Csiszar, I.1
  • 10
    • 0033903895 scopus 로고    scopus 로고
    • Entropy expressions for multivariate continuous distributions
    • G. Darbellay I. Vajda Entropy expressions for multivariate continuous distributions IEEE Trans. Inform. Theory 46 2000 709-712
    • (2000) IEEE Trans. Inform. Theory , vol.46 , pp. 709-712
    • Darbellay, G.1    Vajda, I.2
  • 13
    • 0042045533 scopus 로고    scopus 로고
    • An asymptotic test of independence for multivariate t and Cauchy random variables with applications
    • J.L. Guerrero-Cusumano An asymptotic test of independence for multivariate t and Cauchy random variables with applications Inform. Sci. 92 1996 33-45
    • (1996) Inform. Sci. , vol.92 , pp. 33-45
    • Guerrero-Cusumano, J.L.1
  • 14
    • 32044457125 scopus 로고
    • On characterizing dependence in joint distributions
    • Bose et al. (Eds.) University of North Carolina Chapel Hill
    • W.J. Hall On characterizing dependence in joint distributions Bose et al. (Eds.) Essays in Probability and Statistics 1969 University of North Carolina Chapel Hill
    • (1969) Essays in Probability and Statistics
    • Hall, W.J.1
  • 15
    • 84941476533 scopus 로고
    • Neue bergrundung der theorie quadratischen formen von unendlich vielen veranderlichen
    • E. Hellinger Neue bergrundung der theorie quadratischen formen von unendlich vielen veranderlichen J. Reine Angew. Math. 136 1909 210-271
    • (1909) J. Reine Angew. Math. , vol.136 , pp. 210-271
    • Hellinger, E.1
  • 16
    • 68349153730 scopus 로고
    • Relative entropy measures of multivariate dependence
    • H. Joe Relative entropy measures of multivariate dependence J. Amer. Statist. Assoc. 84 1989 157-164
    • (1989) J. Amer. Statist. Assoc. , vol.84 , pp. 157-164
    • Joe, H.1
  • 17
    • 0018849079 scopus 로고
    • A general correlation coefficient for directional data and related regression problems
    • P.E. Jupp K.V. Mardia A general correlation coefficient for directional data and related regression problems Biometrika 67 1980 163-173
    • (1980) Biometrika , vol.67 , pp. 163-173
    • Jupp, P.E.1    Mardia, K.V.2
  • 18
    • 0001600762 scopus 로고
    • Information gain and a general measure of correlation
    • J.T. Kent Information gain and a general measure of correlation Biometrika 70 1983 163-173
    • (1983) Biometrika , vol.70 , pp. 163-173
    • Kent, J.T.1
  • 21
    • 84963122774 scopus 로고
    • Measures of association between vectors
    • Pi-Erh Lin Measures of association between vectors Commun. Statistist.-Theory Methods 16 1987 321-338
    • (1987) Commun. Statistist.-Theory Methods , vol.16 , pp. 321-338
    • Pi-Erh, L.1
  • 22
    • 0001837838 scopus 로고
    • An informational measure of correlation
    • E.H. Linfoot An informational measure of correlation Inform. Control 1 1957 85-89
    • (1957) Inform. Control , vol.1 , pp. 85-89
    • Linfoot, E.H.1
  • 23
    • 0000085092 scopus 로고
    • Decision rules, based on the distance for problems of fit, two samples, and estimation
    • K. Matusita Decision rules, based on the distance for problems of fit, two samples, and estimation Ann. Math. Statist. 26 1955 631-640
    • (1955) Ann. Math. Statist. , vol.26 , pp. 631-640
    • Matusita, K.1
  • 24
  • 27
    • 32044463327 scopus 로고
    • Sur une mesure de dependence pour les variables aleatoires
    • B. Schweizer E.F. Wolff Sur une mesure de dependence pour les variables aleatoires C. R. Acad. Sci. Paris, Ser. A 283 1976 659-661
    • (1976) C. R. Acad. Sci. Paris, Ser. A , vol.283 , pp. 659-661
    • Schweizer, B.1    Wolff, E.F.2
  • 28
    • 0000906108 scopus 로고
    • On parametric measures of dependence for random variables
    • B. Schweizer E.F. Wolff On parametric measures of dependence for random variables Ann. Statist. 9 1981 879-885
    • (1981) Ann. Statist. , vol.9 , pp. 879-885
    • Schweizer, B.1    Wolff, E.F.2
  • 29
    • 0242566048 scopus 로고    scopus 로고
    • Measures of dependence and tests of independence
    • D. Tjostheim Measures of dependence and tests of independence Statistics 28 1996 249-284
    • (1996) Statistics , vol.28 , pp. 249-284
    • Tjostheim, D.1
  • 30
    • 0000755874 scopus 로고
    • On the f-divergence and singularity of measures
    • I. Vajda On the f -divergence and singularity of measures Periodica Math. Hungar. 2 1972 223-234
    • (1972) Periodica Math. Hungar. , vol.2 , pp. 223-234
    • Vajda, I.1
  • 32
    • 3142574452 scopus 로고
    • Measures of dependence derived from copulas
    • Ph.D. Thesis, University of Massachusetts, Amherst
    • E.F. Wolff, Measures of dependence derived from copulas, Ph.D. Thesis, University of Massachusetts, Amherst, 1977.
    • (1977)
    • Wolff, E.F.1
  • 33
    • 0042542640 scopus 로고    scopus 로고
    • On a measure of dependence based on Fisher's information matrix
    • K. Zografos On a measure of dependence based on Fisher's information matrix Commun. Statist.-Theory Methods 27 1998 1715-1728
    • (1998) Commun. Statist.-Theory Methods , vol.27 , pp. 1715-1728
    • Zografos, K.1
  • 34
    • 0042207256 scopus 로고    scopus 로고
    • Measures of multivariate dependence based on a distance between Fisher information matrices
    • K. Zografos Measures of multivariate dependence based on a distance between Fisher information matrices J. Statist. Plann. Inference 89 2000 91-107
    • (2000) J. Statist. Plann. Inference , vol.89 , pp. 91-107
    • Zografos, K.1
  • 35
    • 0005279278 scopus 로고
    • On measures of statistical dependence
    • J. Zvarova On measures of statistical dependence Casopis. Pest. Mat. 99 1974 15-29
    • (1974) Casopis. Pest. Mat. , vol.99 , pp. 15-29
    • Zvarova, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.