Discrete Probability Distribution for Failures in a Defined Time Interval When the Time-to-Failure Is Weibully Distributed Throughout

摘要

Described herein is the development of a probability distribution function for the discrete random variable, number of failures, observed in a time interval consisting of T hours when the operating system's time-to-failure is distributed as a two parameter Weibull distribution. Particular application of the distribution is envisioned in repair/spare parts quantity forecasting. Additionally, discussions are provided pertaining to the distribution's 'goodness-of-fit' to simulated Weibull failure times and its use in evaluating stock-out risks associated with discrete stockage levels. (Author)