Extreme Dependence of Relief Factors of Debris Flow

Abstract

Combining the theory of Copula with statistics of extremes, this paper studied the dependence between drainage area and drainage height difference of the six relief factors of debris flow. The correlation coefficient Kendall's τ, Spearman's ρ, and the tail association measure χ have been calculated. Moreover, in order to describe the extreme dependent structure about the two relief factors comprehensively, this paper makes a bivariate exceedance model and gives the tail distribution and the parameter estimation methods. Finally, as examples, this paper analyses the dependence of relief factors of the debris flow.