A new bivariate DUS-Weibull distribution: Properties, inference and application in infections in kidney patients

This paper discusses a new bivariate double uniform smoothing transformation (DUS)-Weibull distribution which has marginals are DUS-Weibull distribution. We use the Farlie-gumbel morgenstern copula to construct a new bivariate distribution. The main statistical properties of the new bivariate distribution are introduced. Two estimation methods are introduced to estimate the bivariate distribution parameters. Monte-Carlo simulation study is constructed to compare two estimation methods and study the behavior of the estimators. Finally, real data is used to show the validity of a new bivariate DUS-Weibull distribution.