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Lognormal Distribution

Fit, evaluate, generate random samples from lognormal distribution

中央集权ics and Machine Learning Toolbox™ offers several ways to work with the lognormal distribution.

  • Create a probability distribution objectLognormalDistributionby 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 theDistribution Fitterapp. 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, seeLognormal Distribution.

Objects

LognormalDistribution Lognormal probability distribution object

Apps

Distribution Fitter Fit probability distributions to data

Functions

expand all

CreateLognormalDistributionObject

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

Work withLognormalDistributionObject

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 配置文件为distri概率似然函数bution
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
Probability Distribution Function Interactive density and distribution plots
randtool Interactive random number generation

Topics

Lognormal Distribution

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