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Volumn 53, Issue 2, 2011, Pages 157-177

Estimators Based On Kendall's Tau In Multivariate Copula Models

Author keywords

Archimedean copula; Coefficient of agreement; Finite sample moments; Kendall's tau; Meta elliptical copula

Indexed keywords


EID: 80054926500     PISSN: 13691473     EISSN: 1467842X     Source Type: Journal    
DOI: 10.1111/j.1467-842X.2011.00622.x     Document Type: Article
Times cited : (85)

References (35)
  • 1
    • 84892260351 scopus 로고    scopus 로고
    • Dependence properties of meta-elliptical distributions
    • In, eds. P. Duchesne & B. Rémillard - New York Springer.
    • Abdous, B., Genest, C. & Rémillard, B. (2005). Dependence properties of meta-elliptical distributions. In Statistical Modeling and Analysis for Complex Data Problems, eds. P. Duchesne & B. Rémillard, pp. 1-15. New York Springer.
    • (2005) Statistical Modeling and Analysis for Complex Data Problems , pp. 1-15
    • Abdous, B.1    Genest, C.2    Rémillard, B.3
  • 4
    • 0011590570 scopus 로고
    • The significance of rank correlations where parental correlation exists
    • Daniels, H.E. & Kendall, M.G. (1947). The significance of rank correlations where parental correlation exists. Biometrika 34, 197-208.
    • (1947) Biometrika , vol.34 , pp. 197-208
    • Daniels, H.E.1    Kendall, M.G.2
  • 5
    • 1542410314 scopus 로고
    • On sampling from a population of rankers
    • Ehrenberg, A.S.C. (1952). On sampling from a population of rankers. Biometrika 39, 82-87.
    • (1952) Biometrika , vol.39 , pp. 82-87
    • Ehrenberg, A.S.C.1
  • 6
    • 34547857911 scopus 로고    scopus 로고
    • Spearman's ρ and Kendall's τ for multivariate data sets
    • In, eds. M. Moore, S. Froda & C. Léger - Beachwood, OH Inst. Math. Statist.
    • El Maache, H. & Lepage, Y. (2003). Spearman's ρ and Kendall's τ for multivariate data sets. In Mathematical Statistics and Applications: Festschrift for Constance van Eeden, eds. M. Moore, S. Froda & C. Léger, pp. 113-130. Beachwood, OH Inst. Math. Statist.
    • (2003) Mathematical Statistics and Applications: Festschrift for Constance van Eeden , pp. 113-130
    • El Maache, H.1    Lepage, Y.2
  • 7
    • 14644427246 scopus 로고    scopus 로고
    • The meta-elliptical distributions with given marginals
    • Corrigendum appears in 2005
    • Fang, H.-B., Fang, K.-T. & Kotz, S. (2002). The meta-elliptical distributions with given marginals. (Corrigendum appears in 2005 J. Multivariate Anal. 94, 222-223) J. Multivariate Anal. 82, 1-16.
    • (2002) J. Multivariate Anal. , vol.94 , pp. 222-223
    • Fang, H.-B.1    Fang, K.-T.2    Kotz, S.3
  • 8
    • 33748673852 scopus 로고    scopus 로고
    • Some statistical pitfalls in copula modelling for financial applications
    • In, ed. E. Klein - Hauppauge, NY Nova Science Publ.
    • Fermanian, J.-D. & Scaillet, O. (2005). Some statistical pitfalls in copula modelling for financial applications. In Capital Formation, Governance and Banking, ed. E. Klein, pp. 59-74. Hauppauge, NY Nova Science Publ.
    • (2005) Capital Formation, Governance and Banking , pp. 59-74
    • Fermanian, J.-D.1    Scaillet, O.2
  • 9
    • 85011135932 scopus 로고    scopus 로고
    • Understanding relationships using copulas
    • Frees, E.W. & Valdez, E.A. (1998). Understanding relationships using copulas. North Amer. Act. J. 2, 1-25.
    • (1998) North Amer. Act. J. , vol.2 , pp. 1-25
    • Frees, E.W.1    Valdez, E.A.2
  • 10
    • 33646533039 scopus 로고
    • A semiparametric estimation procedure of dependence parameters in multivariate families of distributions
    • Genest, C., Ghoudi, K. & Rivest, L.-P. (1995). A semiparametric estimation procedure of dependence parameters in multivariate families of distributions. Biometrika 82, 543-552.
    • (1995) Biometrika , vol.82 , pp. 543-552
    • Genest, C.1    Ghoudi, K.2    Rivest, L.-P.3
  • 11
    • 1542410315 scopus 로고
    • A note on average tau as a measure of concordance
    • Hays, W.H. (1960). A note on average tau as a measure of concordance. J. Amer. Statist. Assoc. 55, 331-341.
    • (1960) J. Amer. Statist. Assoc. , vol.55 , pp. 331-341
    • Hays, W.H.1
  • 12
    • 0000868242 scopus 로고
    • On the distribution of the rank correlation coefficient τ when the variates are not independent
    • Hoeffding, W. (1947). On the distribution of the rank correlation coefficient τ when the variates are not independent. Biometrika 34, 183-196.
    • (1947) Biometrika , vol.34 , pp. 183-196
    • Hoeffding, W.1
  • 13
    • 0001744704 scopus 로고
    • A class of statistics with asymptotically normal distribution
    • Hoeffding, W. (1948). A class of statistics with asymptotically normal distribution. Ann. Math. Statist. 19, 293-325.
    • (1948) Ann. Math. Statist. , vol.19 , pp. 293-325
    • Hoeffding, W.1
  • 14
    • 0036756224 scopus 로고    scopus 로고
    • Multivariate extremes, aggregation and dependence in elliptical distributions
    • Hult, H. & Lindskog, P. (2002). Multivariate extremes, aggregation and dependence in elliptical distributions. Adv. Appl. Probab. 34, 587-608.
    • (2002) Adv. Appl. Probab. , vol.34 , pp. 587-608
    • Hult, H.1    Lindskog, P.2
  • 15
    • 38249016191 scopus 로고
    • Multivariate concordance
    • Joe, H. (1990). Multivariate concordance. J. Multivariate Anal. 35, 12-30.
    • (1990) J. Multivariate Anal. , vol.35 , pp. 12-30
    • Joe, H.1
  • 16
    • 0030134894 scopus 로고    scopus 로고
    • Copula models for aggregating expert opinions
    • Jouini, M.N. & Clemen, R.T. (1996). Copula models for aggregating expert opinions. Operations Res. 44, 444-457.
    • (1996) Operations Res. , vol.44 , pp. 444-457
    • Jouini, M.N.1    Clemen, R.T.2
  • 17
  • 18
    • 0000889043 scopus 로고
    • On the method of paired comparisons
    • Kendall, M.G. & Babington Smith, B. (1940). On the method of paired comparisons. Biometrika 31, 324-345.
    • (1940) Biometrika , vol.31 , pp. 324-345
    • Kendall, M.G.1    Babington Smith, B.2
  • 19
    • 33846635121 scopus 로고    scopus 로고
    • Comparison of semiparametric and parametric methods for estimating copulas
    • Kim, G., Silvapulle, M.J. & Silvapulle, P. (2007). Comparison of semiparametric and parametric methods for estimating copulas. Comput. Statist. Data Anal. 51, 2836-2850.
    • (2007) Comput. Statist. Data Anal. , vol.51 , pp. 2836-2850
    • Kim, G.1    Silvapulle, M.J.2    Silvapulle, P.3
  • 21
    • 77953288433 scopus 로고    scopus 로고
    • Comparison of three semiparametric methods for estimating dependence parameters in copula models
    • Kojadinovic, I. & Yan, J. (2010). Comparison of three semiparametric methods for estimating dependence parameters in copula models. Insurance Math. Econom. 47, 52-63.
    • (2010) Insurance Math. Econom. , vol.47 , pp. 52-63
    • Kojadinovic, I.1    Yan, J.2
  • 24
    • 33846892777 scopus 로고
    • Some remarks on the mean error of the percentage of correlation
    • Lindeberg, J.W. (1929). Some remarks on the mean error of the percentage of correlation. Nordic Statist. J. 1, 137-141.
    • (1929) Nordic Statist. J. , vol.1 , pp. 137-141
    • Lindeberg, J.W.1
  • 27
    • 77953082512 scopus 로고    scopus 로고
    • From Archimedean to Liouville copulas
    • McNeil, A.J. & Nešlehová, J. (2010). From Archimedean to Liouville copulas. J. Multivariate Anal. 101, 1772-1790.
    • (2010) J. Multivariate Anal. , vol.101 , pp. 1772-1790
    • McNeil, A.J.1    Nešlehová, J.2
  • 28
    • 33748681141 scopus 로고    scopus 로고
    • Nonparametric measures of multivariate association
    • In, eds. L. Rüschendorf, B. Schweizer & M. D. Taylor - Hayward, CA Inst. Math. Statist.
    • Nelsen, R.B. (1996). Nonparametric measures of multivariate association. In Distributions with Fixed Marginals and Related Topics (Seattle, WA, 1993), eds. L. Rüschendorf, B. Schweizer & M. D. Taylor, pp. 223-232. Hayward, CA Inst. Math. Statist.
    • (1996) Distributions with Fixed Marginals and Related Topics (Seattle, WA, 1993) , pp. 223-232
    • Nelsen, R.B.1
  • 29
    • 0000036435 scopus 로고
    • A model for association in bivariate survival data
    • Oakes, D. (1982). A model for association in bivariate survival data. J. Roy. Statist. Soc. Ser. B 44, 414-422.
    • (1982) J. Roy. Statist. Soc. Ser. B , vol.44 , pp. 414-422
    • Oakes, D.1
  • 31
    • 0018117287 scopus 로고
    • Correlation structure in Farlie-Gumbel-Morgenstern distributions
    • Schucany, W.R., Parr, W.C. & Boyer, J.E. (1978). Correlation structure in Farlie-Gumbel-Morgenstern distributions. Biometrika 65, 650-653.
    • (1978) Biometrika , vol.65 , pp. 650-653
    • Schucany, W.R.1    Parr, W.C.2    Boyer, J.E.3
  • 32
    • 0029597951 scopus 로고
    • Inferences on the association parameter in copula models for bivariate survival data
    • Shih, J.H. & Louis, T.A. (1995). Inferences on the association parameter in copula models for bivariate survival data. Biometrics 51, 1384-1399.
    • (1995) Biometrics , vol.51 , pp. 1384-1399
    • Shih, J.H.1    Louis, T.A.2
  • 33
    • 0000795592 scopus 로고
    • Fonctions de répartition àn dimensions et leurs marges
    • Sklar, A. (1959). Fonctions de répartition àn dimensions et leurs marges. Publ. Inst. Statist. Univ. Paris 8, 229-231.
    • (1959) Publ. Inst. Statist. Univ. Paris , vol.8 , pp. 229-231
    • Sklar, A.1
  • 34
    • 80054880213 scopus 로고
    • Moments of the rank correlation coefficient τ in the general case
    • Sundrum, R.M. (1953). Moments of the rank correlation coefficient τ in the general case. Biometrika 40, 409-420.
    • (1953) Biometrika , vol.40 , pp. 409-420
    • Sundrum, R.M.1
  • 35
    • 84880920502 scopus 로고    scopus 로고
    • Mixtures of multivariate quasi-extremal distributions having given marginals
    • In, eds. L. Rüschendorf, B. Schweizer & M. D. Taylor - Hayward, CA Inst. Math. Statist.
    • Tiit, E.M. (1996). Mixtures of multivariate quasi-extremal distributions having given marginals. In Distributions with Fixed Marginals and Related Topics (Seattle, WA, 1993), eds. L. Rüschendorf, B. Schweizer & M. D. Taylor, pp. 337-357. Hayward, CA Inst. Math. Statist.
    • (1996) Distributions with Fixed Marginals and Related Topics (Seattle, WA, 1993) , pp. 337-357
    • Tiit, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.