Journal of Applied Probability
- J. Appl. Probab.
- Volume 40, Number 3 (2003), 721-740.
Initial and final behaviour of failure rate functions for mixtures and systems
In this paper we consider the initial and asymptotic behaviour of the failure rate function resulting from mixtures of subpopulations and formation of coherent systems. In particular, it is shown that the failure rate of a mixture has the same limiting behaviour as the failure rate of the strongest subpopulation. A similar result holds for systems except the role of strongest subpopulation is replaced by strongest min path set.
J. Appl. Probab. Volume 40, Number 3 (2003), 721-740.
First available in Project Euclid: 24 July 2003
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 62E10: Characterization and structure theory
Secondary: 62N05: Reliability and life testing [See also 90B25]
Block, Henry W.; Li, Yulin; Savits, Thomas H. Initial and final behaviour of failure rate functions for mixtures and systems. J. Appl. Probab. 40 (2003), no. 3, 721--740. doi:10.1239/jap/1059060898. https://projecteuclid.org/euclid.jap/1059060898.