Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-10T22:49:42.745Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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
Cox, D. R. (1962) Renewal Theory. Methuen, London.Google Scholar
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