A general approach for the development of multivariate survival models, based on a set of given marginal survivals, is presented. Preservation of IFR and IFRA properties and the nature of dependence among the variables are examined, and a recursive relation is suggested to obtain the resultant...

Bivariate exponential distribution of Marshall-Olkin form, bivariate Rayleigh distribution, and bivariate Weibull distribution have been characterized through some functional equations to be satisfied by the survival function and hazard function.

In the univariate setup the Lomax distribution is being widely used for stochastic modelling of decreasing failure rate life components. It also serves as a useful model in the study of labour turnover, queueing theory, and biological analysis. A bivariate extension of the Lomax distribution...