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 $F_{alpha}$, he NPBE of F with respect to the Dirichlet process prior D($alpha$), 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, $alpha$, Hjort(1990) obtained the Bayes estimator $A_{c,alpha}$ of A under a squared error loss function. By the theory of product-integral developed by Gill and Johansen(1990), the Bayes estimator $F_{c,alpha}$ is recovered from $A_{c,alpha}$. Continuity assumption on F and G is removed in our proof of the consistency of $A_{c,alpha}$ and $F_{c,alpha}$. 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.