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Exponential Distribution

Fit, evaluate, and generate random samples from exponential distribution

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

  • Create a probability distribution object ExponentialDistribution 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 exponential 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 exponential distributions.

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

To learn about the exponential distribution, see Exponential Distribution.

Objects

ExponentialDistributionExponential probability distribution object

Apps

Distribution FitterFit probability distributions to data

Functions

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Create ExponentialDistribution Object

makedistCreate probability distribution object
fitdistFit probability distribution object to data

Work with ExponentialDistribution Object

cdfCumulative distribution function
icdfInverse cumulative distribution function
iqrInterquartile range
meanMean of probability distribution
medianMedian of probability distribution
negloglikNegative loglikelihood of probability distribution
paramciConfidence intervals for probability distribution parameters
pdfProbability density function
proflikProfile likelihood function for probability distribution
randomRandom numbers
stdStandard deviation of probability distribution
truncateTruncate probability distribution object
varVariance of probability distribution
expcdfExponential cumulative distribution function
exppdfExponential probability density function
expinvExponential inverse cumulative distribution function
explikeExponential negative log-likelihood
expstatExponential mean and variance
expfitExponential parameter estimates
exprndExponential random numbers
mleMaximum likelihood estimates
distributionFitterOpen Distribution Fitter app
histfitHistogram with a distribution fit
Probability Distribution FunctionInteractive density and distribution plots
qqplotQuantile-quantile plot
randtoolInteractive random number generation

Topics

Exponential Distribution

The exponential distribution is special because of its utility in modeling events that occur randomly over time. The main application area is in studies of lifetimes.