A New Class of Bivariate Distributions with Lindley Conditional Hazard Functions

Abstract

In this paper, we introduce a new class of Bivariate Distributions such that both the Conditional Hazard Functions are Lindley. Some properties of the new class are studied. Estimation of the parameters of the new class is discussed using the Maximum Likelihood and Pseudo-likelihood methods. Further, a set of real data is used to compare the results obtained by these two methods of Estimation. Finally, a comparison is given between the fitting of a real set of data to the new class and to the Bivariate class of Exponential Conditionals (BEC).