Abstract
Abstract A series expansion is developed for the n th order distribution functions of the Weibull distribution and the coefficients are found by solving recurrence equations. The availability and the renewal function of an alternating renewal process, which consists pf a Weibull failure distribution and a constant repair time, are written as related double series. The distribution functions and the unavailability are calculated for several values of the parameters and the rate of convergence of the series is examined.
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