Accuracy in Estimation of the Reliability of an Item in a Small Sample of Failure-Free Tests

A posteriori estimates of the parameter of reliability obtained on the basis of the mathematical expectation of the parameter and the variance calculated by the results of a limited number of Bernoulli trials taking into account additional information are examined. The novelty of the results consists in the predictions of the accuracy of the estimation of the parameter of reliability depending on the method of a priori information accounting in addition to a limited number of failure-free tests. The scope of the obtained results includes estimates of the indices of reliability of a highly reliable nonrepairable single-action item based on a small number of tests using a priori information.