Birnbaum-Saunders probability distribution object
A BirnbaumSaundersDistribution
object consists of
parameters, a model description, and sample data for a Birnbaum-Saunders probability
distribution.
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.
The Birnbaum-Saunders distribution uses the following parameters.
Parameter | Description | Support |
---|---|---|
beta | scale parameter | β > 0 |
gamma | shape parameter | γ > 0 |
There are several ways to create a BirnbaumSaundersDistribution
probability distribution object.
Create a distribution with specified parameter values using makedist
.
Fit a distribution to data using fitdist
.
Interactively fit a distribution to data using the Distribution Fitter app.
cdf | Cumulative distribution function |
icdf | Inverse cumulative distribution function |
iqr | Interquartile range |
mean | Mean of probability distribution |
median | Median of probability distribution |
negloglik | Negative loglikelihood of probability distribution |
paramci | Confidence intervals for probability distribution parameters |
pdf | Probability density function |
proflik | Profile likelihood function for probability distribution |
random | Random numbers |
std | Standard deviation of probability distribution |
truncate | Truncate probability distribution object |
var | Variance of probability distribution |