On the identifiability of multivariate survival distribution functions

Let (T1, T2) be a non-negative random vector which is subjected to censoring random intervals [X1, Y1] and [X2, Y2]. The censoring mechanism is such that the available informations on T1 and T2 are expressed by a pair of random vectors W=(W1, W2) and [delta]=([delta]1, [delta]2), where Wi=max(min(Yi, Ti), Xi) and In this paper we will show that under some mild conditions the joint survival function of T1 and T2 can be expressed uniquely as functional of observable joint survival functions. Our results extend recent works on the randomly right censored bivariate data case and on the univariate problem with double censoring to the bivariate data with double censoring.