| Abstract: | Probability models are formulated for the availability (probability of being operative, i.e. not failed or down at fixed or random time t) of a variety of simple repairable systems. Single-exponential approximations of the time-dependent approach to long-run availability are presented. Problems of non-parametric estimation of time-dependent system availability from data are addressed by way of the empirical Laplace—Stieltjes transform. Uncertainty assessments are made by classical asymptotics (delta method) and by bootstrapping. |
