Let F and G denote the distribution functions of the failure times and the censoring variables in a random censorship model. Susarla and Van Ryzin(1978) verified consistency of F^_α, the NPBE of F with respect to the Dirichlet process prior D(α), in which they assumed F and G are continuous. Assuming that A, the cumulative hazard function, is distributed according to a beta process with parameters c, α, Hjort(1990) obtained the Bayes estimator A^_(c,α) of A under a squared error loss function. By the theory of product-integral developed by Gill and Johansen(1990), the Bayes estimator F^_(c,α) is recovered from A^_(c,α). Continuity assumption on F and G is removed in our proof of the consistency of A^_(c,α) and F^_(c,α). Our result extends Susarla and Van Ryzin(1978) since a particular transform of a beta process is a Dirichlet process and the class of beta processes forms a much larger class than the class of Dirichlet processes.