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December 2015 Erratum to: Mixture representations of residual lifetimes of used systems
Maria Kamińska-Zabierowska, Jorge Navarro
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J. Appl. Probab. 52(4): 1183-1186 (December 2015). DOI: 10.1239/jap/1450802761

Abstract

We have found a mistake in the proofs of Navarro (2008, Theorem 2.3(b) and 2.3(c)) due to misapplication of properties of hazard rate and likelihood ratio orders. In this paper we show with an example that the stated results do not hold. This example is interesting since it proves some unexpected properties for these orderings under the formation of coherent systems. The result stated in Navarro (2008, Theorem 2.3(a)) for the usual stochastic order is correct.

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Maria Kamińska-Zabierowska. Jorge Navarro. "Erratum to: Mixture representations of residual lifetimes of used systems." J. Appl. Probab. 52 (4) 1183 - 1186, December 2015. https://doi.org/10.1239/jap/1450802761

Information

Published: December 2015
First available in Project Euclid: 22 December 2015

zbMATH: 06554320
MathSciNet: MR3439180
Digital Object Identifier: 10.1239/jap/1450802761

Subjects:
Primary: 60E15
Secondary: 60K10

Rights: Copyright © 2015 Applied Probability Trust

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Vol.52 • No. 4 • December 2015
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