Weibull Extension of a Bivariate Exponential Regression Model

In this paper, we propose a bivariate Weibull regression models for survival time derived from the bivariate exponential distribution of Freund [Freund, Journal of the Amer. Statist. Assoc. 56: 971-77, 1961]. There are some biometrical applications which motivated to study these particular models. We obtain estimators of regression parameters and develop a test procedure for testing the significance of regression parameters based on censored samples.