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Birnbaum-Saunders Distribution

Fit, evaluate, and generate random samples from Birnbaum-Saunders distribution

Statistics and Machine Learning Toolbox™ offers multiple ways to work with the Birnbaum-Saunders distribution.

  • Create a BirnbaumSaundersDistribution object and use BirnbaumSaundersDistribution object functions.

  • Use the generic distribution functions with the specified distribution name "BirnbaumSaunders" and corresponding parameters.

To learn about the Birnbaum-Saunders distribution, see Birnbaum-Saunders Distribution.


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makedistCreate probability distribution object
fitdistFit probability distribution object to data
distributionFitterOpen Distribution Fitter app
cdfCumulative distribution function
gatherGather properties of Statistics and Machine Learning Toolbox object from GPU (Since R2020b)
icdfInverse cumulative distribution function
iqrInterquartile range of probability distribution
meanMean of probability distribution
medianMedian of probability distribution
negloglikNegative loglikelihood of probability distribution
paramciConfidence intervals for probability distribution parameters
pdfProbability density function
plotPlot probability distribution object (Since R2022b)
proflikProfile likelihood function for probability distribution
randomRandom numbers
stdStandard deviation of probability distribution
truncateTruncate probability distribution object
varVariance of probability distribution
cdfCumulative distribution function
icdfInverse cumulative distribution function
pdfProbability density function
randomRandom numbers
mleMaximum likelihood estimates


BirnbaumSaundersDistributionBirnbaum-Saunders probability distribution object


  • Birnbaum-Saunders 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.