# Documentation

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# Piecewise Linear Distribution

Evaluate and generate random samples from piecewise linear distribution

## Functions

 `makedist` Create probability distribution object `paretotails` Empirical distributions with Pareto tails
 `cdf` Cumulative distribution functions `icdf` Inverse cumulative distribution functions `iqr` Interquartile range `mean` Mean of probability distribution `median` Median of probability distribution `pdf` Probability density functions `random` Random numbers `std` Standard deviation of probability distribution `truncate` Truncate probability distribution object `var` Variance of probability distribution

## Using Objects

 `PiecewiseLinearDistribution` Piecewise linear probability distribution object

## Examples and How To

Fit a Nonparametric Distribution with Pareto Tails

This example shows how to fit a nonparametric probability distribution to sample data using Pareto tails to smooth the distribution in the tails.

## Concepts

Piecewise Linear Distribution

The piecewise linear distribution creates a nonparametric representation of the cumulative distribution function (cdf) by linearly connecting the known cdf values from the sample data.

Nonparametric and Empirical Probability Distributions

Estimate a probability density function or a cumulative distribution function from sample data.