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

ExponentialDistribution Exponential probability distribution object

Apps

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

Functions

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`ExponentialDistribution` Object Functions

Create `ExponentialDistribution` Object

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

Work with `ExponentialDistribution` Object

`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`	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

Distribution-Specific Functions

`expcdf`	Exponential cumulative distribution function
`exppdf`	Exponential probability density function
`expinv`	Exponential inverse cumulative distribution function
`explike`	Exponential negative log-likelihood
`expstat`	Exponential mean and variance
`expfit`	Exponential parameter estimates
`exprnd`	Exponential random numbers

Maximum Likelihood Estimation

mle Maximum likelihood estimates

Distribution Plots

`distributionFitter`	Open Distribution Fitter app
`histfit`	Histogram with a distribution fit
`qqplot`	Quantile-quantile plot
`randtool`	Interactive 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.