Journal of Applied Probability

Stochastic intensity for minimal repairs in heterogeneous populations

Ji Hwan Cha and Maxim Finkelstein

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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

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

First available in Project Euclid: 23 September 2011

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

Heterogeneous population minimal repair frailty intensity process updating procedure


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.

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