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This package is still under active development. If you have features you would like to have added, please submit your suggestions (and bug-reports) at:


As mentioned in CRAN Task View: Probability Distributions

Empirical distribution : Base R provides functions for univariate analysis: (1) the empirical density (see density()), (2) the empirical cumulative distribution function (see ecdf()), (3) the empirical quantile (see quantile()) and (4) random sampling (see sample()).

This package aims to easily wrap these into a single function edfun (short for Empirical Distribution FUNctions). Also, since quantile is generally a slow function to perform, the default for creating a quantile function (inverse-CDF) is by approximating the function of predicting the data values (x) from their quantiles (CDF). This is done using the approxfun function. It takes a bit longer to create qfun, but it is MUCH faster to run than quantile (and is thus much better for simulations). Special care is taken for dealing with the support of the distribution (if it is known upfront).

The added speed allows to use these functions to run simulation studies for unusual distributions.


To install the stable version on CRAN:

# install.packages('edfun') # not on CRAN yet

To install the latest ("cutting-edge") GitHub version run:

# You'll need devtools
if (!require(devtools)) install.packages("devtools");


And then you may load the package using:



Quick example:


x <- rnorm(1000)
x_dist <- edfun(x)

f <- x_dist$dfun
curve(f, -2,2)

f <- x_dist$pfun
curve(f, -2,2)

f <- x_dist$qfun
curve(f, 0,1)

new_x <- x_dist$rfun(1000)

This is especially useful for cases where we can simulate numbers or have their density, but don't have their CDF or inv-CDF. For example, for the double exponential distribution, or a bi-modal normal distribution.


This package is thanks to the amazing work done by MANY people in the (open source) R community.


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Please note that this project is released with a Contributor Code of Conduct. By participating in this project you agree to abide by its terms.