Main Content

Lognormal Distribution

Fit, evaluate, generate random samples from lognormal distribution

Statistics and Machine Learning Toolbox™ offers multiple 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 functions can accept parameters of multiple lognormal distributions.

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

To learn about the lognormal distribution, see Lognormal Distribution.


LognormalDistributionLognormal probability distribution object


Distribution FitterFit probability distributions to data
Probability Distribution FunctionInteractive density and distribution plots


expand all

Create LognormalDistribution Object

makedistCreate probability distribution object
fitdistFit probability distribution object to data

Work with LognormalDistribution Object

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
logncdfLognormal cumulative distribution function
lognpdfLognormal probability density function
logninvLognormal inverse cumulative distribution function
lognlikeLognormal negative loglikelihood
lognstatLognormal mean and variance
lognfitLognormal parameter estimates
lognrndLognormal random numbers
cdfCumulative distribution function
icdfInverse cumulative distribution function
pdfProbability density function
randomRandom numbers
mleMaximum likelihood estimates
plotPlot probability distribution object (Since R2022b)
randtoolInteractive random number generation


  • Lognormal Distribution

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