Journal of Applied Probability

Erratum to: Mixture representations of residual lifetimes of used systems

Maria Kamińska-Zabierowska and Jorge Navarro

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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.

Article information

J. Appl. Probab., Volume 52, Number 4 (2015), 1183-1186.

First available in Project Euclid: 22 December 2015

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 60E15: Inequalities; stochastic orderings
Secondary: 60K10: Applications (reliability, demand theory, etc.)

Coherent system signature stochastic ordering


Kamińska-Zabierowska, Maria; Navarro, Jorge. Erratum to: Mixture representations of residual lifetimes of used systems. J. Appl. Probab. 52 (2015), no. 4, 1183--1186. doi:10.1239/jap/1450802761.

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