Reliability analysis of redundant systems by simulation for data with unimodal hazard rate functions

Abstract

In Reliability, the distributions with unimodal or the so-called $\cap-\mbox{shape}$ hazard functions are used quiet often. Mostly people use log-normal, log-logistic and inverse Gaussian distributions. In this paper, we consider also an application of the inverse Gaussian, log-normal and log-logistic distribution in the reliability analysis of redundant system with one main unit and $(m-1)$ stand-by units. Asymptotic properties of the point estimators and confidence intervals are studied.