The asymptotic distribution of the log-likelihood ratio is shown to provide a method of determining approximate confidence limits for any coherent system when each component has an exponential life with unknown failure rate and component performance data are provided in the form, number of failures (minimum of one) and total operating time. Some computational methods to facilitate the determination of the lower confidence bound at a given level are provided in the important case of a series system. A numerical comparison is made between the nominal confidence level and the actual confidence level, by counting the number of times the true reliability is caught within the confidence bound determined by the likelihood ratio method using repeated computations from random numbers generated with a specified distribution. (Author)
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