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AGING PROPERTIES OF SEQUENTIAL ORDER STATISTICS

Published online by Cambridge University Press:  21 July 2011

M. Burkschat  and
J. Navarro
M. Burkschat
Affiliation:
Otto von Guericke University Magdeburg, Institute of Mathematical Stochastics, D-39016 Magdeburg, Germany E-mail: [email protected]
J. Navarro
Affiliation:
Facultad de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain E-mail: [email protected]
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Abstract

Sequential order statistics describe the ordered failure times in a k-out-of-n system, where the failures of components might affect the performance of remaining working components. In this article aging properties of sequential order statistics are examined and conditions are given such that the distribution of a sequential order statistic is ILR, IFR, IFRA, or NBU. Moreover, conditions for aging properties of spacings of sequential order statistics are obtained.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 25 , Issue 4 , October 2011 , pp. 449 - 467
Copyright
Copyright © Cambridge University Press 2011

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