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Visualizing uncertainty in reliability functions with application to aero engine overhaul

Author

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  • Mark Ebden
  • Armin Stranjak
  • Stephen Roberts

Abstract

Summary. We propose an approach for estimating the date of lost confidence of jet engines, which are devices with multiple components subject to disruption. A mixed Weibull distribution is estimated from a large data set subject to censoring at various times. Parametric uncertainty is derived analytically and mapped visually onto the functions of use in reliability theory, including the hazard function. We demonstrate the use of the method on a database of disruption times for components in 325 jet engines.

Suggested Citation

  • Mark Ebden & Armin Stranjak & Stephen Roberts, 2010. "Visualizing uncertainty in reliability functions with application to aero engine overhaul," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(1), pages 163-173, January.
  • Handle: RePEc:bla:jorssc:v:59:y:2010:i:1:p:163-173
    DOI: 10.1111/j.1467-9876.2009.00692.x
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    Cited by:

    1. Manuel Franco & Narayanaswamy Balakrishnan & Debasis Kundu & Juana-María Vivo, 2014. "Generalized mixtures of Weibull components," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 515-535, September.

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