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The lifetime of a standby system of units having the Birnbaum and Saunders distribution

Published online by Cambridge University Press:  14 July 2016

F. J. M. Raaijmakers
F. J. M. Raaijmakers*
Affiliation:
Royal Netherlands Naval College
*
∗Postal address: Royal Netherlands Naval College, Het Nieuwe Diep 8, 1781 AC Den Helder, The Netherlands.
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Abstract

In this paper a formula is derived for the probability density function of the lifetime for a system of identical units. The lifetime of the system is the sum of the lifetimes of the independent units when the units have lifetimes distributed independently by the law proposed by Birnbaum and Saunders (1969).

Keywords

SYSTEM-RELIABILITYFATIGUE LIFEBIRNBAUM AND SAUNDERS DISTRIBUTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 2 , June 1980 , pp. 490 - 497
Copyright
Copyright © Applied Probability Trust 1980 

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References

Birnbaum, Z. W. and Saunders, S. C. (1969) A new family of life distributions. J. Appl. Prob. 6, 319–327.CrossRefGoogle Scholar
Birnbaum, Z. W. and Saunders, S. C. (1969) Estimation for a family of life distributions with applications to fatigue. J. Appl. Prob. 6, 328–347.Google Scholar
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Dam, J. Van (1975) Optimalisation of spare part kits (in Dutch). Thesis, University of Delft.Google Scholar
Sneddon, I. N. (1972) The Use of Integral Transformations. McGraw-Hill, New York.Google Scholar