Abstract

In this notes we define a bivariate version of the correlated destructive cure rate model. As an example we consider the bivariate Pólya-Aeppli survival model with marginal survivals, given by [1]. Zero correlation in the univariate case coincides with the long - term survival function. This motivates the definition of a bivariate long - term survival function. We discuss some properties of the defined model including the probability generating function, recursive relations, and conditional distributions.

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