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On the closure of the IFR(2) and NBU(2) classes

Part of: Distribution theory - Probability Survival analysis and censored data

Published online by Cambridge University Press:  14 July 2016

Manuel Franco ,
José M. Ruiz  and
M. Carmen Ruiz
Manuel Franco*
Affiliation:
Universidad de Murcia
José M. Ruiz*
Affiliation:
Universidad de Murcia
M. Carmen Ruiz*
Affiliation:
Universidad Politécnica de Cartagena
*
∗ Postal address: Departamento Estadística e I.O., Universidad de Murcia, 30100 Murcia, Spain.
∗ Postal address: Departamento Estadística e I.O., Universidad de Murcia, 30100 Murcia, Spain.
∗∗∗ Postal address: Departamento Matemática Aplicada y Estadística, Universidad Politécnica Cartagena, 30203 Murcia, Spain.
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Abstract

In this note, we give some preservation results for the classes IFR(2), NBU(2) and their dual classes under the formation of special coherent systems. Further, we show with examples that the relationships among these aging classes and others are strictly one-way implications.

Keywords

coherent systemsparallel systemsseries systemsIFR(2)NBU(2)

MSC classification

Primary: 60E15: Inequalities; stochastic orderings
Secondary: 62N05: Reliability and life testing
Type
Short Communications
Information
Journal of Applied Probability , Volume 38 , Issue 1 , March 2001 , pp. 235 - 241
Copyright
Copyright © by the Applied Probability Trust 2001 

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Footnotes

This work was partly supported by DGES(MEC), Grant PB96-1105.

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