Visualizing Uncertainty in Reliability Functions with Application to Aero Engine Overhaul
- 22 October 2009
- journal article
- Published by Oxford University Press (OUP) in Journal of the Royal Statistical Society Series C: Applied Statistics
- Vol. 59 (1), 163-173
- https://doi.org/10.1111/j.1467-9876.2009.00692.x
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.Keywords
Funding Information
- Engineering and Physical Sciences Research Council
- Ministry of Defence
This publication has 7 references indexed in Scilit:
- Testing for the presence of cured patients: a simulation studyStatistics in Medicine, 2001
- Finite Mixture ModelsWiley Series in Probability and Statistics, 2000
- Bayesian approaches to Gaussian mixture modelingIeee Transactions On Pattern Analysis and Machine Intelligence, 1998
- Neural Networks for Pattern RecognitionPublished by Oxford University Press (OUP) ,1995
- Choosing the Number of Component Clusters in the Mixture-Model Using a New Informational Complexity Criterion of the Inverse-Fisher Information MatrixPublished by Springer Science and Business Media LLC ,1993
- Maximum likelihood estimates, from censored data, for mixed-Weibull distributionsIEEE Transactions on Reliability, 1992
- A Statistical Distribution Function of Wide ApplicabilityJournal of Applied Mechanics, 1951