A Continuous, Bivariate Exponential Extension 论文

摘要

Abstract Two derivations are given for an absolutely continuous bivariate extension of the exponential distribution. This distribution turns out to be the absolutely continuous part of the bivariate exponential distribution of Marshall and Olkin and a variant of the bivariate exponential extension of Freund. One derivation utilizes the loss of memory property (LMP) which Marshall and Olkin used to derive their bivariate exponential distribution. Distributional properties, reliability considerations and estimation for this distribution are discussed. Further, the LMP is characterized for absolutely continuous bivariate random variables (X, Y) through the independence of min (X, Y) and X – Y.