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21 Mar 2010
Bounds for the mean residual life function of a koutofn system
 Mohammad Z. Raqab,
 Tomasz Rychlik
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In the reliability studies, koutofn systems play an important role. In this paper, we consider sharp bounds for the mean residual life function of a koutofn system consisting of n identical components with independent lifetimes having a common distribution function F, measured in location and scale units of the residual life random variable X _{ t } = (X−tX > t). We characterize the probability distributions for which the bounds are attained. We also evaluate the so obtained bounds numerically for various choices of k and n.
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 Title
 Bounds for the mean residual life function of a koutofn system
 Journal

Metrika
Volume 74, Issue 3 , pp 361380
 Cover Date
 20111101
 DOI
 10.1007/s0018401003077
 Print ISSN
 00261335
 Online ISSN
 1435926X
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Mean residual life function
 Characterization
 Cauchy–Schwarz inequality
 Monotone approximation method
 Industry Sectors
 Authors

 Mohammad Z. Raqab ^{(1)}
 Tomasz Rychlik ^{(2)}
 Author Affiliations

 1. Department of Mathematics, University of Jordan, Amman, 11942, Jordan
 2. Institute of Mathematics, Polish Academy of Sciences, Toruń, 87100, Poland