Concordance measures of an ordinal sum of a class of Copulas

Abstract

In order to describe the dependence structure of the two relief factors of debris flow of main channel length and drainage height difference, this paper provides an ordinal sum of a class of Copulas, such that its concordance measures of Kendall's τ and Spearman's ρ being suitable for the data. The parameters in Copulas are calculated to get some specific Copulas, which can be better fitting to the dependence structure of the two relief factors.