Copula-based Density Weighting Functions

In this paper, we propose a method how to construct density weighting functions from Copulas. The notion of Copula was introduced by A. Sklar in 1959. A Copula is a dependence function to construct a bivariate distribution function that links joint distributions to their marginals. Other forms of dependence function, based on density weighing functions, have also been developed. The proposed method is demonstrated and validated by showing the derivation of density weighting function from Copula along with numerical simulation. This paper demonstrates how the nature of the density weighting functions of different copulas change with their parameter values and also the similarity and dissimilarity between them.