Journal of Applied Probability

Initial and final behaviour of failure rate functions for mixtures and systems

Henry W. Block, Yulin Li, and Thomas H. Savits

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Abstract

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.

Article information

Source
J. Appl. Probab. Volume 40, Number 3 (2003), 721-740.

Dates
First available: 24 July 2003

Permanent link to this document
http://projecteuclid.org/euclid.jap/1059060898

Digital Object Identifier
doi:10.1239/jap/1059060898

Mathematical Reviews number (MathSciNet)
MR1993263

Zentralblatt MATH identifier
02066247

Subjects
Primary: 62E10: Characterization and structure theory
Secondary: 62N05: Reliability and life testing [See also 90B25]

Keywords
Mixture IFR DFR bathtub shape failure rate asymptotic behaviour initial behaviour coherent system

Citation

Block, Henry W.; Li, Yulin; Savits, Thomas H. Initial and final behaviour of failure rate functions for mixtures and systems. Journal of Applied Probability 40 (2003), no. 3, 721--740. doi:10.1239/jap/1059060898. http://projecteuclid.org/euclid.jap/1059060898.


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