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Zbl 0994.62100
Gut, Allan
Mixed shock models. (English)
[J] Bernoulli 7, No.3, 541-555 (2001). ISSN 1350-7265

The author studies system lifetimes that are associated with a cumulative shock model as follows: The system fails when the cumulative damage exceeds some threshold, or when a single large shock occurs. {\it H. Li} and the reviewer [Stochastic Processes Appl. 58, No. 2, 205-216 (1995; Zbl 0833.60088); Appl. Probab. 34, No. 1, 1-13 (1997; Zbl 0952.60085)] obtained some aging properties of such lifetimes. In the present paper the author obtains the asymptotic distribution of such lifetimes. Some uniform integrability and moment convergence results, as well as some applications and further results are also included in the paper.
[Moshe Shaked (Tucson)]

MSC 2000:: *62N05 Reliability, etc. (statistics)
60K10 Appl. of renewal theory

Citations: Zbl 0833.60088; Zbl 0952.60085

Cited in: Zbl 1122.60075

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