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Survival under the pure birth shock model
Luleå University of Technology, Department of Business Administration, Technology and Social Sciences, Business Administration and Industrial Engineering.
1981 (English)In: Journal of Applied Probability, ISSN 0021-9002, E-ISSN 1475-6072, Vol. 18, no 2, p. 554-560Article in journal (Refereed) Published
Abstract [en]

Suppose that a device is subjected to shocks and that P sub(k), k = 0, 1, 2,..., denotes the probability of surviving k shocks. Then H(t) = Sigma super( infinity )@)dk sub(=) sub(0) P(N(t)=k)P sub(k) is the probability that the device will survive beyond t, where N = (N(t):t greater than or equal to 0) is the counting process which governs the arrival of shocks. A-Hameed and Proschan (1975) considered the survival function H(t) under what they called the pure birth shock model. In this paper we shall prove that H(t) is IFRA and DMRL under conditions which differ from those used by A-Hameed and Proschan (1975).

Place, publisher, year, edition, pages
1981. Vol. 18, no 2, p. 554-560
National Category
Reliability and Maintenance
Research subject
Quality Technology and Management
Identifiers
URN: urn:nbn:se:ltu:diva-6386Local ID: 49db8590-0683-11df-bae5-000ea68e967bOAI: oai:DiVA.org:ltu-6386DiVA, id: diva2:979264
Note
Godkänd; 1981; 20100121 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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Klefsjö, Bengt

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