Statistical analyses of reliability of a redundant system with one operating system with one operating unit and one stand-by unit in warm operating state

Mathematical formulation of fluent switching from "warm" to "hot" conditiond of standby units is given using the well known Sedyakin's and accelerated failure time models. Non-parametric estimators of cumulative distribution function and mean failure time of a redundant system with several stand-by units are proposed. Goodness-of-fit tests for two given models are given.