Copula-Based Measures of Multivariate Association

[1]  C. Spearman The proof and measurement of association between two things. , 2015, International journal of epidemiology.

[2]  Sandra Gaißer,et al.  A multivariate version of Hoeffding's Phi-Square , 2010, J. Multivar. Anal..

[3]  C. Genest,et al.  Asymptotics of joint maxima for discontinuous random variables , 2010 .

[4]  Christian Genest,et al.  Spearman's footrule and Gini's gamma: a review with complements , 2010 .

[5]  Fabrizio Durante,et al.  Copula theory and its applications : proceedings of the workshop held in Warsaw, 25-26 September 2009 , 2010 .

[6]  Taoufik Bouezmarni,et al.  Asymptotic properties of the Bernstein density copula estimator for alpha-mixing data , 2010, J. Multivar. Anal..

[7]  C. Sempi,et al.  Copula Theory: An Introduction , 2010 .

[8]  Aristidis K. Nikoloulopoulos,et al.  Tail dependence functions and vine copulas , 2010, J. Multivar. Anal..

[9]  Johan Segers,et al.  Extreme-value copulas , 2009, 0911.1015.

[10]  Christian Genest,et al.  Analytical proofs of classical inequalities between Spearman's ρ and Kendall's τ , 2009 .

[11]  Haijun Li,et al.  Orthant tail dependence of multivariate extreme value distributions , 2009, J. Multivar. Anal..

[12]  Jean-François Quessy,et al.  Theoretical efficiency comparisons of independence tests based on multivariate versions of Spearman’s rho , 2009 .

[13]  C. Klüppelberg,et al.  Semi‐Parametric Models for the Multivariate Tail Dependence Function – the Asymptotically Dependent Case , 2008 .

[14]  L. Haan,et al.  Parametric tail copula estimation and model testing , 2008 .

[15]  Haijun Li,et al.  Tail dependence for multivariate t -copulas and its monotonicity , 2008 .

[16]  Haijun Li,et al.  Tail Dependence Comparison of Survival Marshall–Olkin Copulas , 2008 .

[17]  K. Siburg,et al.  A measure of mutual complete dependence , 2010 .

[18]  M. D. Taylor Multivariate measures of concordance , 2007 .

[19]  C. Genest,et al.  A Primer on Copulas for Count Data , 2007, ASTIN Bulletin.

[20]  J. Segers,et al.  A Method of Moments Estimator of Tail Dependence , 2007, 0710.2039.

[21]  Friedrich Schmid,et al.  Nonparametric inference on multivariate versions of Blomqvist’s beta and related measures of tail dependence , 2007 .

[22]  Friedrich Schmid,et al.  Multivariate conditional versions of Spearman's rho and related measures of tail dependence , 2007 .

[23]  Javad Behboodian,et al.  A multivariate version of Gini's rank association coefficient , 2007 .

[24]  Johanna Nešlehová,et al.  On rank correlation measures for non-continuous random variables , 2007 .

[25]  Friedrich Schmid,et al.  Multivariate Extensions of Spearman's Rho and Related Statistics , 2007 .

[26]  C. Klüppelberg,et al.  Estimating the tail dependence function of an elliptical distribution , 2007 .

[27]  Maria L. Rizzo,et al.  A multivariate nonparametric test of independence , 2006 .

[28]  Gabriel Frahm On the extremal dependence coefficient of multivariate distributions , 2006 .

[29]  Rafael Schmidt,et al.  Non‐parametric Estimation of Tail Dependence , 2006 .

[30]  Manuel Úbeda-Flores,et al.  On Measures of Multivariate Concordance , 2006 .

[31]  L. Haan,et al.  Extreme value theory : an introduction , 2006 .

[32]  Manuel Úbeda-Flores Multivariate versions of Blomqvist’s beta and Spearman’s footrule , 2005 .

[33]  P. Embrechts,et al.  Quantitative Risk Management: Concepts, Techniques, and Tools , 2005 .

[34]  Kilani Ghoudi,et al.  Extreme behaviour for bivariate elliptical distributions , 2005 .

[35]  H. Tsukahara,et al.  Semiparametric estimation in copula models , 2005 .

[36]  R. Randles,et al.  Multivariate Nonparametric Tests of Independence , 2005 .

[37]  Markus Junker,et al.  Estimating the tail-dependence coefficient: Properties and pitfalls , 2005 .

[38]  Mhamed Mesfioui,et al.  On the properties of some nonparametric concordance measures in the discrete case , 2005 .

[39]  Helena Ferreira,et al.  Measuring the extremal dependence , 2005 .

[40]  Friedrich Schmid,et al.  Nonparametric estimation of the lower tail dependence λ L in bivariate copulas , 2005 .

[41]  Michel Denuit,et al.  Constraints on concordance measures in bivariate discrete data , 2005 .

[42]  Christian Genest,et al.  Asymptotic local efficiency of Cramér–von Mises tests for multivariate independence , 2005, 0708.0485.

[43]  B. Rémillard,et al.  Test of independence and randomness based on the empirical copula process , 2004 .

[44]  M. Wegkamp,et al.  Weak Convergence of Empirical Copula Processes , 2004 .

[45]  S. Satchell,et al.  THE BERNSTEIN COPULA AND ITS APPLICATIONS TO MODELING AND APPROXIMATIONS OF MULTIVARIATE DISTRIBUTIONS , 2004, Econometric Theory.

[46]  L. de Haan,et al.  Bivariate tail estimation: dependence in asymptotic independence , 2004 .

[47]  Manuel Úbeda-Flores,et al.  A new class of bivariate copulas , 2004 .

[48]  A. Kraskov,et al.  Estimating mutual information. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[49]  Philippe Lambert,et al.  Improved rank-based dependence measures for categorical data , 2003 .

[50]  Thorsten Rheinländer Risk Management: Value at Risk and Beyond , 2003 .

[51]  W. Härdle,et al.  Statistical Tools for Finance and Insurance , 2003 .

[52]  Yves Lepage,et al.  Spearman's rho and Kendall's tau for multivariate data sets , 2003 .

[53]  C. Genest,et al.  Tests of serial independence based on Kendall's process , 2002 .

[54]  F. Lindskog,et al.  Multivariate extremes, aggregation and dependence in elliptical distributions , 2002, Advances in Applied Probability.

[55]  Rafael Schmidt,et al.  Tail dependence for elliptically contoured distributions , 2002, Math. Methods Oper. Res..

[56]  R. Nelsen Concordance and Copulas: A Survey , 2002 .

[57]  Carles M. Cuadras,et al.  Distributions With Given Marginals and Statistical Modelling , 2002 .

[58]  P. Embrechts,et al.  Risk Management: Correlation and Dependence in Risk Management: Properties and Pitfalls , 2002 .

[59]  José M. González-Barrios,et al.  Multidimensional dependency measures , 2004 .

[60]  Janet E. Heffernan A Directory of Coefficients of Tail Dependence , 2000 .

[61]  Janet E. Heffernan,et al.  Dependence Measures for Extreme Value Analyses , 1999 .

[62]  Song-xi Chen,et al.  Beta kernel estimators for density functions , 1999 .

[63]  Liang Peng Estimation of the coefficient of tail dependence in bivariate extremes , 1999 .

[64]  Igor Vajda,et al.  Estimation of the Information by an Adaptive Partitioning of the Observation Space , 1999, IEEE Trans. Inf. Theory.

[65]  R. Nelsen An Introduction to Copulas , 1998 .

[66]  H. Joe Multivariate models and dependence concepts , 1998 .

[67]  Roger B. Nelsen,et al.  Concordance and Gini's measure of association , 1998 .

[68]  K. Choi,et al.  A multivariate version of kendall's τ , 1998 .

[69]  Jonathan A. Tawn,et al.  Modelling Dependence within Joint Tail Regions , 1997 .

[70]  Bruno Rémillard,et al.  On Kendall's Process , 1996 .

[71]  José-Luis Guerrero-Cusumano A Measure of Total Variability for the Multivariate t Distribution with Applications to Finance , 1996, Inf. Sci..

[72]  José-Luis Guerrero-Cusumano An Asymptotic Test of Independence for Multivariate t and Cauchy Random Variables with Applications , 1996, Inf. Sci..

[73]  E. Regazzini,et al.  On the asymptotic distribution of a general measure of monotone dependence , 1996 .

[74]  Jon A. Wellner,et al.  Weak Convergence and Empirical Processes: With Applications to Statistics , 1996 .

[75]  A. Ledford,et al.  Statistics for near independence in multivariate extreme values , 1996 .

[76]  Roger B. Nelsen,et al.  Nonparametric measures of multivariate association , 1996 .

[77]  J. Hüsler,et al.  Laws of Small Numbers: Extremes and Rare Events , 1994 .

[78]  P. Hall,et al.  On the estimation of entropy , 1993 .

[79]  D. W. Scott Multivariate Density Estimation: Theory, Practice, and Visualization , 1992, Wiley Series in Probability and Statistics.

[80]  Harry Joe,et al.  Multivariate concordance , 1990 .

[81]  H. Joe Estimation of entropy and other functionals of a multivariate density , 1989 .

[82]  H. Joe Relative Entropy Measures of Multivariate Dependence , 1989 .

[83]  H. Joe Majorization, randomness and dependence for multivariate distributions , 1987 .

[84]  P. Gaenssler,et al.  Seminar on Empirical Processes , 1987 .

[85]  P. J. Green,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[86]  C. Genest,et al.  The Joy of Copulas: Bivariate Distributions with Uniform Marginals , 1986 .

[87]  Christian Genest,et al.  Copules archimédiennes et families de lois bidimensionnelles dont les marges sont données , 1986 .

[88]  Marco Scarsini,et al.  On measures of concordance , 1984 .

[89]  B. Schweizer,et al.  On Nonparametric Measures of Dependence for Random Variables , 1981 .

[90]  E. Wolff N-dimensional measures of dependence. , 1980 .

[91]  F. Ruymgaart,et al.  Asymptotic normality of multivariate linear rank statistics in the non-I.I.D. case , 1978 .

[92]  J. Barra,et al.  Recent Developments in Statistics , 1978 .

[93]  Gary Simon A nonparametric test of total independence based on Kendall's tau , 1977 .

[94]  Gary Simon,et al.  Multivariate Generalization of Kendall's Tau with Application to Data Reduction , 1977 .

[95]  Ludger Rüschendorf,et al.  Asymptotic Distributions of Multivariate Rank Order Statistics , 1976 .

[96]  Corrado Gini L'ammontare e la Composizione Della Ricchezza Delle Nazioni , 1963 .

[97]  H. O. Lancaster Correlation and Complete Dependence of Random Variables , 1963 .

[98]  J. Kiefer,et al.  DISTRIBUTION FREE TESTS OF INDEPENDENCE BASED ON THE SAMPLE DISTRIBUTION FUNCTION , 1961 .

[99]  Masaaki Sibuya,et al.  Bivariate extreme statistics, I , 1960 .

[100]  A. Rényi On measures of dependence , 1959 .

[101]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .

[102]  Nils Blomqvist,et al.  On a Measure of Dependence Between two Random Variables , 1950 .

[103]  Maurice G. Kendall,et al.  Rank Correlation Methods , 1949 .

[104]  W. Hoeffding A Non-Parametric Test of Independence , 1948 .

[105]  Wassilij Höffding,et al.  Stochastische Abhängigkeit und funktionaler Zusammenhang , 1942 .

[106]  M. Kendall A NEW MEASURE OF RANK CORRELATION , 1938 .