Journal of Applied Probability

Stochastic intensity for minimal repairs in heterogeneous populations

Ji Hwan Cha and Maxim Finkelstein

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Abstract

In this note we revisit the discussion on minimal repair in heterogeneous populations in Finkelstein (2004). We consider the corresponding stochastic intensities (intensity processes) for items in heterogeneous populations given available information on their operational history, i.e. the failure (repair) times and the time since the last failure (repair). Based on the improved definitions, the setup of Finkelstein (2004) is modified and the main results are corrected in accordance with the updating procedure for the conditional frailty distribution.

Article information

Source
J. Appl. Probab., Volume 48, Number 3 (2011), 868-876.

Dates
First available in Project Euclid: 23 September 2011

Permanent link to this document
https://projecteuclid.org/euclid.jap/1316796921

Digital Object Identifier
doi:10.1239/jap/1316796921

Mathematical Reviews number (MathSciNet)
MR2884822

Zentralblatt MATH identifier
1226.60122

Subjects
Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 90B25: Reliability, availability, maintenance, inspection [See also 60K10, 62N05]

Keywords
Heterogeneous population minimal repair frailty intensity process updating procedure

Citation

Cha, Ji Hwan; Finkelstein, Maxim. Stochastic intensity for minimal repairs in heterogeneous populations. J. Appl. Probab. 48 (2011), no. 3, 868--876. doi:10.1239/jap/1316796921. https://projecteuclid.org/euclid.jap/1316796921


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References

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