I Chapter 10 Copula - Based Measures of Multivariate Association

نویسندگان

  • Tomasz Rychlik
  • Friedrich Schmid
  • Rafael Schmidt
  • Thomas Blumentritt
  • Sandra Gaißer
  • Martin Ruppert
چکیده

This chapter constitutes a survey on copula-based measures of multivari­ ate association i.e. association in a d-dimensional random vector X = (XI1""Xd) where d ~ 2. Some of the measures discussed are multivariate extensions of well­ known bivariate measures such as Spearman's rho, Kendall's tau, Blomqvist's beta or Gini's gamma. Others rely on information theory or are based on Lp-distances of copulas. Various measures of multivariate tai! dependence are derived by extend­ ing the coefficient of bivariate tai! dependence. Nonparametric estimation of these measures based on the empirical copula is further addressed. 10.

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تاریخ انتشار 2010