Aging properties of sequential order statistics

Authors:
M. Burkschat;J. Navarro
Affiliations:
Otto von guericke university magdeburg, institute of mathematical stochastics, d-39016 magdeburg, germany e-mail: marco.burkschat@ovgu.de;Facultad de matemáticas, universidad de murcia, 30100 murcia, spain e-mail: jorgenav@um.es
Venue:
Probability in the Engineering and Informational Sciences
Year:
2011

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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.