Bayesian Reliability Theory for Repairable Equipment
Final technical rept. 1 Jun-30 Sep 1979
SOUTHEASTERN CENTER FOR ELECTRICAL ENGINEERING EDUCATION INC ST CLOUD FL
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This report introduces an assumption called instantaneous resurrection which holds that a repaired equipment is returned to the state of an equipment of similar age which has not yet failed, rather than to the state of a new equipment. Under this assumption, the number of failures of an equipment in time t is a Poisson process with leading function - log Rt, where Rt is the reliability function of the equipment. This fact can be used in the estimation of parameters of various prior distributions via the appropriate Poisson mixtures. The case of the two-way truncated Gamma prior and its limiting forms is discussed in the report.
- Statistics and Probability
- Manufacturing and Industrial Engineering and Control of Production Systems