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HNBUE survival under some shock models
Luleå University of Technology, Department of Business Administration, Technology and Social Sciences, Business Administration and Industrial Engineering.
1981 (English)In: Scandinavian Journal of Statistics, ISSN 0303-6898, E-ISSN 1467-9469, Vol. 8, no 1, p. 39-47Article in journal (Refereed) Published
Abstract [en]

Suppose that a device is subjected to shocks governed by a counting process N={N(t):t⩾O}. The probability that the device survives beyond t is then H¯(t)=Σk=O∞P(N(t)=k)P¯k, where P¯k is the probability of surviving k shocks. In this paper the author proves that H¯(t) is HNBUE (HNWUE), i.e. ∫t∞H¯(x)dx⩽(⩾)μexp(-t/ν) for t⩾O, where μ=∫O∞H¯(x)dx, under some different conditions on N and (P¯k)k=O∞. For instance the author studies the case when the inter-arrival times between the shocks are dependent and HNBUE (HNWUE). This situation includes the cases when N is a Poisson process or a birth process. Further a certain cumulative damage model is studied (14 refs.)

Place, publisher, year, edition, pages
1981. Vol. 8, no 1, p. 39-47
National Category
Reliability and Maintenance
Research subject
Quality Technology and Management
Identifiers
URN: urn:nbn:se:ltu:diva-8258Local ID: 6bcc7720-bceb-11db-9be7-000ea68e967bOAI: oai:DiVA.org:ltu-8258DiVA, id: diva2:981149
Note
Godkänd; 1981; 20070124 (keni)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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