Lognormal Distribution

Fit, evaluate, generate random samples from lognormal distribution

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

• Create a probability distribution object LognormalDistribution 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 lognormal 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 lognormal distributions.

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

To learn about the lognormal distribution, see Lognormal Distribution.

Objects

 LognormalDistribution Lognormal 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 LognormalDistribution Object

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

Work with LognormalDistribution 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
 logncdf Lognormal cumulative distribution function lognpdf Lognormal probability density function logninv Lognormal inverse cumulative distribution function lognlike Lognormal negative loglikelihood lognstat Lognormal mean and variance lognfit Lognormal parameter estimates lognrnd Lognormal random numbers
 mle Maximum likelihood estimates mlecov Asymptotic covariance of maximum likelihood estimators
 randtool Interactive random number generation

Topics

Lognormal Distribution

The lognormal distribution is a probability distribution whose logarithm has a normal distribution.