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Reversed Preservation Properties for Series and Parallel Systems

Part of:Special processesDistribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

Félix Belzunce,
Helena Martínez-Puertas and
José M. Ruiz
Félix Belzunce*
Affiliation:
Universidad de Murcia
Helena Martínez-Puertas*
Affiliation:
Universidad de Almería
José M. Ruiz*
Affiliation:
Universidad de Murcia
*
∗ Postal address: Departamento Estadística e Investigación Operativa, Universidad de Murcia, Campus de Espinardo, 30100 Espinardo de Murcia, Spain.
∗∗ Postal address: Departamento Estadística y Matemática Aplicada, Universidad de Almería, Campus de La Cañada, 04120 Almería, Spain. Email address: hmartinezp@terra.es
∗ Postal address: Departamento Estadística e Investigación Operativa, Universidad de Murcia, Campus de Espinardo, 30100 Espinardo de Murcia, Spain.
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Abstract

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Recently Li and Yam (2005) studied which ageing properties for series and parallel systems are inherited for the components. In this paper we provide new results for the increasing convex and concave orders, the increasing mean residual life (IMRL), decreasing failure rate (DFR), the new worse than used in expectation (NWUE), the increasing failure rate in average (IFRA), the decreasing failure rate in average (DFRA), and the new better than used in the convex order (NBUC) ageing classes.

Keywords

Increasing convex orderincreasing concave orderIMRLDFRNWUEIFRADFRANBUCparallel and series system

MSC classification

Secondary:60E15: Inequalities; stochastic orderings60K10: Applications (reliability, demand theory, etc.)

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 44 , Issue 4 , December 2007, pp. 928 - 937
Copyright
Copyright © Applied Probability Trust 2007 

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