Properties of Bivariate Distributions Represented through Quantile Functions

Abstract

Abstract Recently, Vineshkumar and Nair (2019) have discussed the applications of bivariate quantile functions in the context of reliability analysis. But, the general properties of bivariate quantile functions have not been considered in their work. In the present paper, we carry out a preliminary study on the properties of bivariate distributions represented through quantile functions. The uses of the new results are illustrated in the case of a bivariate quantile function model by deriving their properties and then applying them to real data.