Characterizations and time-dependent association measures for bivariate Schur-constant distributions

Abstract

Bivariate Schur-constant distributions have an important role in Bayesian analysis of lifetime data, as models possessing no-ageing property. In the present work, we obtain characterizations of bivariate Schur-constant distributions by properties of functions of random variables and reliability concepts. Various time-dependent measures are analysed and shown to be characterized by the ageing property of the marginal distribution.