ASYMPTOTIC RELIABILITY OF CONSECUTIVE K-OUT-OF-N SYSTEMS

By studying the minimum of moving maxima, that is the maxima taken ove r a sliding window of length k in an i.i.d. sequence, we obtain new re sults on the reliability of consecutive k-out-of-n systems. In particu lar, we give the reliability asymptotically with both k and n varying. The underlying method of our approach is to analyze the singularities of a generating function.