# overlap: Overlapping estimation In overlapping: Estimation of Overlapping in Empirical Distributions

## Description

It gives the overlapped estimated area of two or more empirical distributions.

## Usage

 `1` ```overlap(x, nbins = 1000, plot = FALSE, partial.plot = FALSE) ```

## Arguments

 `x` list of distributions to be compared; each distribution is an element of the list `nbins` number of equally spaced points at which the overlapping density is evaluated `plot` logical, if `TRUE`, final plot of estimated densities and overlapped areas is produced `partial.plot` logical, if `TRUE`, partial paired distributions are plotted

## Details

If the list `x` contains more than two elements (i.e. more than two distributions) it computes all overlapping between all paired distributions. Partial plots refer to these coupled distributions.

If `plot=TRUE`, all overlapped areas are plotted. It requires `lattice`.

## Value

It returns a list containing the following components:

 `DD ` Data frame with information used for computing overlapping, containing the following variables: `x`, coordinates of the points where the density is estimated; `y`, density; `j`, index of the distribution in the list `x`; `xclass`, class of `x`; `xnum`, numerical class of `x` (obtained by `cutnumeric`); `dominance`, indicates which distribution has the highest density; `w`, flag 0-1 for normalizing area; `k`, label indicating which distributions are compared `OV ` Estimates of overlapped areas relative to each couple of distributions. `xpoints ` Abscissas of intersection points among the density curves.

## Note

Call functions `cutnumeric` e `final.plot`.

## Author(s)

Massimiliano Pastore

## Examples

 ```1 2 3``` ```set.seed(20150605) x <- list(X1=rnorm(100),X2=rt(50,8),X3=rchisq(80,2)) out <- overlap(x,plot=TRUE) ```

overlapping documentation built on June 20, 2017, 9:13 a.m.