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A new family of life distributions

Published online by Cambridge University Press:  14 July 2016

Z.W. Birnbaum  and
S.C. Saunders
Z.W. Birnbaum
Affiliation:
University of Washington
S.C. Saunders
Affiliation:
Boeing Scientific Research Laboratories, Seattle
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Summary

A new two parameter family of life length distributions is presented which is derived from a model for fatigue. This derivation follows from considerations of renewal theory for the number of cycles needed to force a fatigue crack extension to exceed a critical value. Some closure properties of this family are given and some comparisons made with other families such as the lognormal which have been previously used in fatigue studies.

Type
Research Papers
Information
Journal of Applied Probability , Volume 6 , Issue 2 , August 1969 , pp. 319 - 327
Copyright
Copyright © Sheffield: Applied Probability Trust 

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References

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