Multiple copula regression function and directional dependence under multivariate non-exchangeable copulas

Abstract

In this paper, the multiple directional dependence between response variable and covariates using non-exchangeable copulas based regression is introduced. The general measure for the multiple directional dependence in the joint behavior is provided. Several multivariate non-exchangeable copula families including skew normal copula, and the generalized Farlie-Gumbel-Morgenstern copula models are investigated. For the illustration of main results, several examples are given.