In Reliability, the distributions that have a hazard function of shape or unimodal are not too much, they include: Log-normal, log-logistic, power generalized Weibull and inverse Gaussian distributions. In this study, we give the application of the log-normal distribution in the analysis of redundant system with one main unit and (m ? 1) stand-by units. Asymptotic properties of the estimators and asymptotic confidence intervals are obtained.
mikhail Nikulin, Noureddine Saaidia, Ramzan Tahir