Abstract
Failures of some components, rotors of turbines or critical parts of aircraft etc., belong to extremely rare events even if respective components have been in service for a long time. Sometimes it even happens, that components of given type are observed for years (several decades) and no failures have occurred all the while. In this paper we shall describe several possibilities what to do in such a situation under the assumption, that the stream of failures form Poisson process. Advantages and disadvantages of MLE, UMVE and Bayesian estimators are covered and thoroughly discussed.
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© 1997 Springer-Verlag Berlin Heidelberg
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Antoch, J., Machek, J. (1997). Prediction of Failures that Have Never Occured: Exponential Case. In: Kitsos, C.P., Edler, L. (eds) Industrial Statistics. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-59268-3_9
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DOI: https://doi.org/10.1007/978-3-642-59268-3_9
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-1042-4
Online ISBN: 978-3-642-59268-3
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