Journal of Applied Probability
- J. Appl. Probab.
- Volume 52, Number 4 (2015), 1183-1186.
Erratum to: Mixture representations of residual lifetimes of used systems
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.
J. Appl. Probab., Volume 52, Number 4 (2015), 1183-1186.
First available in Project Euclid: 22 December 2015
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 60E15: Inequalities; stochastic orderings
Secondary: 60K10: Applications (reliability, demand theory, etc.)
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. https://projecteuclid.org/euclid.jap/1450802761