Detection and Estimation of a Mixture in a Power Law Process for a Repairable System

نویسندگان

  • Ni Wang
  • Paul Kvam
  • Jye-Chyi Lu
چکیده

The power law process has proved to be a useful tool in characterizing the failure process of repairable systems. This paper presents a procedure for detecting and estimating a mixture of conforming and nonconforming systems. The test of a mixture, based on a simple likelihood ratio, is illustrated with truncated failure data for copy machines. Bootstrap methods are used to gauge the estimation uncertainty, and optimal decisions for system replacement are determined based on the observed likelihood. The methods are applied in the analysis of copy machine failure data.

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تاریخ انتشار 2005