We consider the problem of estimating the proportion of true null hypotheses, "π"₀, in a multiple-hypothesis set-up. The tests are based on observed "p"-values. We first review published estimators based on the estimator that was suggested by Schweder and Spjøtvoll. Then we derive new...

We consider a binary system with n binary components and random component reliabilities. An upper bound for the mth moment (m [greater-or-equal, slanted] 2) of the system reliability function is derived, using a stochastic domination argument.

In this paper we derive general formulae suitable for Monte Carlo computation of conditional expectations of functions of a random vector given a sufficient statistic. The problem of direct sampling from the conditional distribution is considered in particular. It is shown that this can be done...