Title:

Miltivariate measures of dependence based on copulas

Group publication title:

Mathematical Economics

Creator:

Heilpern, Stanisław

Subject and Keywords:

multivariate measures of dependence ; copulas ; tail dependences ; estimation

Description:

Mathematical Economics, 2014, Nr 10 (17), s. 17-32

Abstrakt:

The paper is devoted to the multivariate measures of dependence. In contrast to the classical approach, where the pairs of variables are studied, we investigate the dependence of more than two variables. We mainly consider the measures based on copulas. These are the multivariable generalizations of the known coefficients of such correlation as Spearman’s rho, Kendall’s tau, Blomquist’s beta and Gini’s gamma. We present the definitions, the constructions and the basic properties of such multivariate measures of dependence. The case of large number of dimension, greater than two, presents more complications. We have several different versions of such generalization in this case and the lower bound of the values of such measures of dependence are close to zero. We also study the multivariate tail dependences. The last part of the paper is devoted to the estimation of multivariable versions of Spearman’s rho coefficient.

Publisher:

Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu

Place of publication:

Wrocław

Date:

2014

Resource Type:

artykuł

Format:

application/pdf

Resource Identifier:

doi:10.15611/me.2014.10.02

Language:

eng

Relation:

Mathematical Economics, 2014, Nr 10 (17)

Rights:

Wszystkie prawa zastrzeżone (Copyright)

Access Rights:

Dla wszystkich w zakresie dozwolonego użytku

Location:

Uniwersytet Ekonomiczny we Wrocławiu