Designing a reliability demonstration test on a lithography expose tool using Bayesian techniques

Abstract

The Bayesian Reliability Testing method is used for the estimation of the shape and scale parameters of an inverted gamma prior distribution of the mean time between failures (MTBF) for equipment having an exponential time to failure distribution. This method allows the use of existing failure data of the equipment in question, provided certain conditions are satisfied. The Bayesian method is usable to update the prior distribution as new failure data becomes available. Through this updating process, confidence is built in to reliability demonstrations.<>