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Testing against a change in the NBUE property
Luleå University of Technology, Department of Business Administration, Technology and Social Sciences, Business Administration and Industrial Engineering.
1989 (English)In: Microelectronics and reliability, ISSN 0026-2714, E-ISSN 1872-941X, Vol. 29, no 4, p. 559-570Article in journal (Refereed) Published
Abstract [en]

A life distribution F with survival function F=1-F, finite mean μ and mean residual life e(t) is said to be NBUE (NWUE) if e(t)⩽(⩾)μ for t⩾0. This NBUE (NWUE) property can equivalently be characterized by the fact that φ(u)⩽(⩾)u for 0⩽u⩽1, where φ(u) is the scaled TTT-transform of F. A generalization of the NBUE and NWUE properties is that there is a value of s such that φ(u)⩾u for 0⩽u⩽p and φ(u)⩽u for p⩽u⩽1, or vice versa. This means a trend change in the NBUE property. This generalized aging property is called the NBUE-NWUE property. In this paper the authors present and study a test statistic intended for testing exponentiality (i.e. φ(u)=u for 0⩽u⩽1) against this NBUE-NWUE property. The asymptotic normality of the test statistic, suitably normalized, is established and a simulation study is presented (20 refs.)

Place, publisher, year, edition, pages
1989. Vol. 29, no 4, p. 559-570
National Category
Reliability and Maintenance
Research subject
Quality Technology and Management
Identifiers
URN: urn:nbn:se:ltu:diva-2837DOI: 10.1016/0026-2714(89)90346-6ISI: A1989AH88300018Scopus ID: 2-s2.0-0024904680Local ID: 08c9a2b0-ab7f-11db-aeba-000ea68e967bOAI: oai:DiVA.org:ltu-2837DiVA, id: diva2:975691
Note
Godkänd; 1989; 20070124 (keni)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Klefsjö, Bengt

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