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ON AGING PROPERTIES BASED ON THE RESIDUAL LIFE OF k-OUT-OF-n SYSTEMS

Published online by Cambridge University Press:  01 April 1999

Félix Belzunce ,
Manuel Franco  and
José M. Ruiz
Félix Belzunce
Affiliation:
Departamento de Estadística e I.O., Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain
Manuel Franco
Affiliation:
Departamento de Estadística e I.O., Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain
José M. Ruiz
Affiliation:
Departamento de Estadística e I.O., Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain
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Abstract

In this paper, we give characterizations of nonparametric families of life distributions based on aging and variability orderings of the residual life of k-out-of-n systems. We obtain some results of increasing (decreasing) failure rate classes as well as of new classes decreasing (increasing) mean residual life of the system and new better (worse) than used in expectations of the system. Relationships among themselves and others such as new better (worse) than used, new better (worse) than used expectations, and decreasing (increasing) mean residual life are also given.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 13 , Issue 2 , April 1999 , pp. 193 - 199
Copyright
© 1999 Cambridge University Press

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