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A New Family of Life Distributions
Z. W. Birnbaum and S. C. Saunders
Journal of Applied Probability
Vol. 6, No. 2 (Aug., 1969), pp. 319-327
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/3212003
Page Count: 9
You can always find the topics here!Topics: Fatigue, Random variables, Oscillation, New family, Mathematical independent variables, Fatigue life, Mathematical constants, Statistical models, Statistics
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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.
Journal of Applied Probability © 1969 Applied Probability Trust