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

Fit probability distributions to data

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

`cdf`	Cumulative distribution function
`gather`	Gather properties of Statistics and Machine Learning Toolbox object from GPU (Since R2020b)
`icdf`	Inverse cumulative distribution function
`iqr`	Interquartile range of probability distribution
`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
`plot`	Plot probability distribution object (Since R2022b)
`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

`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

mle Maximum likelihood estimates

`distributionFitter`	Open Distribution Fitter app
`disttool`	Interactive density and distribution plots
`histfit`	Histogram with a distribution fit
`plot`	Plot probability distribution object (Since R2022b)
`qqplot`	Quantile-quantile plot
`randtool`	Interactive random number generation

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.