# CompoundAuxDensPlot: Comparison of the compound GB2 and kernel densities by group In GB2: Generalized Beta Distribution of the Second Kind: Properties, Likelihood, Estimation

## Description

Function `dplot.cavgb2` produces a plot in which the compound and kernel (Epanechnikov) densities are plotted by group.

## Usage

 ```1 2 3``` ```dplot.cavgb2(group, x, shape1, scale, shape2, shape3, pl0, pl, w=rep(1,length(x)), xmax = max(x)*(2/3), ymax=2e-05, decomp="r", choicecol=1:length(levels(group)), xlab="") ```

## Arguments

 `group` numeric; a factor variable giving the group membership of each sampled unit. `x` numeric; can be a vector. The value(s) at which the density is calculated, used for the kernel estimate only. `x` is positive. `shape1, scale, shape2, shape3` numeric; positive parameters of the GB2 distribution. On the plot they are denotes as `a`, `b`, `p`, `q` and `pl0` respectively. `pl0` numeric; a vector of initial proportions defining the number of components and the weight of each component density in the decomposition. Sums to one. `pl` numeric; a vector of fitted proportions (output of `pkl.cavgb2`). Sums to one. If `pl` is equal to `pl0`, we obtain the GB2 distribution. `w` numeric; weights. `xmax` numeric; scale on the horizontal axis. By default is equal to max(x)*(2/3). `ymax` numeric; scale on the vertical axis. By default is equal to 2e-05. `decomp` string; specifying if the decomposition of the GB2 is done with respect to the right tail ("r") or the left tail ("l") of the distribution. By default, `decomp` = "r" - right tail decomposition. `choicecol` numeric vector of length the number of groups; defines the color with which the density curves will be plotted for each group. `xlab` string; label for x. The default is " ".

## Details

The legend is placed interactively.

## Value

`dplot.cavgb2` plots a graph with two curves - the GB2 density, the compound GB2 per group and the corresponding kernel estimate.

## Author(s)

Monique Graf and Desislava Nedyalkova

GB2 documentation built on May 29, 2017, 6:46 p.m.