Weibull Distribution

Fit, evaluate, and generate random samples from Weibull distribution

Statistics and Machine Learning Toolbox™ offers several ways to work with the Weibull distribution.

• Create a probability distribution object WeibullDistribution by fitting a probability distribution to sample data or by specifying parameter values. Then, use object functions to evaluate the distribution, generate random numbers, and so on.

• Work with the Weibull distribution interactively by using the Distribution Fitter app. You can export an object from the app and use the object functions.

• Use distribution-specific functions with specified distribution parameters. The distribution-specific functions can accept parameters of multiple Weibull distributions.

• Use generic distribution functions (cdf, icdf, pdf, random) with a specified distribution name ('Weibull') and parameters.

To learn about the Weibull distribution, see Weibull Distribution.

Objects

 WeibullDistribution Weibull probability distribution object

Apps

 Distribution Fitter Fit probability distributions to data Probability Distribution Function Interactive density and distribution plots

Functions

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Create WeibullDistribution Object

 makedist Create probability distribution object fitdist Fit probability distribution object to data

Work with WeibullDistribution Object

 cdf Cumulative distribution function gather Gather properties of Statistics and Machine Learning Toolbox object from GPU 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
 wblcdf Weibull cumulative distribution function wblpdf Weibull probability density function wblinv Weibull inverse cumulative distribution function wbllike Weibull negative log-likelihood wblstat Weibull mean and variance wblfit Weibull parameter estimates wblrnd Weibull random numbers wblplot Weibull probability plot
 mle Maximum likelihood estimates mlecov Asymptotic covariance of maximum likelihood estimators
 distributionFitter Open Distribution Fitter app histfit Histogram with a distribution fit qqplot Quantile-quantile plot randtool Interactive random number generation wblplot Weibull probability plot

Topics

Weibull Distribution

The Weibull pdf is an appropriate analytical tool for modeling the breaking strength of materials. Current usage also includes reliability and lifetime modeling.

Three-Parameter Weibull Distribution

Find maximum likelihood estimates (MLEs) for the three-parameter Weibull distribution with scale, shape, and location parameters.