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Closure properties of the relevation transform. (English) Zbl 0611.62119

Sufficient conditions under which the relevation of two probability distributions is (i) NBU, (ii) IFRA, (iii) IFR are derived. The result for case (iii) corrects an error in a previous article by the second author, ibid. 29, 323-330 (1982; Zbl 0536.90040).

MSC:

62N05 Reliability and life testing
90B25 Reliability, availability, maintenance, inspection in operations research

Citations:

Zbl 0536.90040
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References:

[1] and , Mathematical Theory of Reliability, Wiley, New York, 1965.
[2] Baxter, Naval Research Logistics Quarterly 29 pp 323– (1982)
[3] ”Relevation,” in The Encyclopedia of Statistical Sciences, Volume 7, and , Eds., Wiley, New York (to appear). · Zbl 0536.90040
[4] Krakowski, Revue Française d’Automatique, Informatique et Recherche Opérationnelle 7 pp 107– (1973)
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