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Closure of the NBUC class under formation of parallel systems

Part of: Special processes Survival analysis and censored data

Published online by Cambridge University Press:  14 July 2016

M. I. Hendi ,
A. F. Mashhour  and
M. A. Montasser
M. I. Hendi
Affiliation:
King Saud University
A. F. Mashhour
Affiliation:
King Saud University
M. A. Montasser*
Affiliation:
King Saud University
*
∗ Postal address for all authors: Department of Statistics and Operations Research, College of Science, P.O. Box 2455, King Saud University, Riyadh 11451, Saudi Arabia.
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Abstract

The class of new better than used in convex ordering (NBUC) is shown to be closed under formation of parallel systems with independent and identically distributed components.

Keywords

NBUCNWUCLIFE DISTRIBUTIONS

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 62N05: Reliability and life testing
Type
Short Communications
Information
Journal of Applied Probability , Volume 30 , Issue 4 , December 1993 , pp. 975 - 978
Copyright
Copyright © Applied Probability Trust 1993 

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References

Abouammoh, A. M. and El-Neweihi, E. (1986) Closure of the NBUE and DMRL classes under formation of parallel system. Statist. Prob. Lett. 4, 223–225.CrossRefGoogle Scholar
Barlow, R. E. and Proschan, F. (1981) Statistical Theory of Reliability and Life Testing; Probability Models. To Begin With, Silver Spring, MD.Google Scholar
Cao, J. and Wang, Y. (1991) The NBUC and NWUC classes of life distributions. J. Appl. Prob. 28, 473–479.Google Scholar
Stoyan, D. (1983) Comparison Methods for Queues and Other Stochastic Models. Wiley, New York.Google Scholar