Birnbaum-Saunders Distribution
Definition
The Birnbaum-Saunders distribution has the density function
with scale parameter β > 0 and shape parameter γ
> 0, for x > 0.
If x has a Birnbaum-Saunders distribution
with parameters β and γ, then
has a standard normal distribution.
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Background
The Birnbaum-Saunders distribution was originally proposed as
a lifetime model for materials subject to cyclic patterns of stress
and strain, where the ultimate failure of the material comes from
the growth of a prominent flaw. In materials science, Miner's Rule
suggests that the damage occurring after n cycles,
at a stress level with an expected lifetime of N cycles,
is proportional to n / N.
Whenever Miner's Rule applies, the Birnbaum-Saunders model is a reasonable
choice for a lifetime distribution model.
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Parameters
See mle, dfittool.
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See Also
Continuous Distributions (Data)
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 | Binomial Distribution | | Chi-Square Distribution |  |
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