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A note on stochastic comparisons of excess lifetimes of renewal processes

Part of: Special processes Distribution theory

Published online by Cambridge University Press:  14 July 2016

Félix Belzunce ,
Eva M. Ortega  and
José M. Ruiz
Félix Belzunce*
Affiliation:
Universidad de Murcia
Eva M. Ortega*
Affiliation:
Universidad Miguel Hernández
José M. Ruiz*
Affiliation:
Universidad de Murcia
*
∗ Postal address: Departamento de Estadística e Investigación Operativa, Universidad de Murcia, 30100 Espinardo, Murcia, Spain.
∗∗∗ Postal address: Centro de Investigación Operativa, Universidad Miguel Hernández, Campus La Gal·lia, Av. Ferrocarril s/n, 03202 Elche, Alicante, Spain.
∗ Postal address: Departamento de Estadística e Investigación Operativa, Universidad de Murcia, 30100 Espinardo, Murcia, Spain.
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Abstract

In this paper we provide new results about stochastic comparisons of the excess lifetime at different times of a renewal process when the interarrival times belong to several ageing classes. We also provide a preservation result for the new better than used in the Laplace transform order ageing class for series systems.

Keywords

Renewal processesexcess lifetimeNBUNBUENBUCNBU(2)NBULT ageing classesseries systems

MSC classification

Primary: 62E10: Characterization and structure theory
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Short Communications
Information
Journal of Applied Probability , Volume 38 , Issue 3 , September 2001 , pp. 747 - 753
Copyright
Copyright © by the Applied Probability Trust 2001 

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Footnotes

Supported by Ministerio de Ciencia y Tecnologia under grant BFM2000-0362.

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