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

• Autores: Ni Wang, Paul Kvam, Jye-Chyi Lu
• Localización: Journal of quality technology: A quarterly journal of methods applications and related topics, ISSN 0022-4065, Vol. 39, Nº. 2, 2007, págs. 140-150
• Idioma: inglés
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• Resumen

  • The power law process has been shown to be a useful tool in characterizing the failure process of repairable systems. In this study, a procedure is proposed for detecting and estimating a mixture of reliable and unreliable systems. Using a simple likelihood ratio, a test of a mixture for copy machines is illustrated with truncated failure data. The estimation uncertainty is determined with bootstrap methods. Optimal decisions for system replacement are determined based on the observed likelihood.