CompoundDensPlot: Comparison of the GB2, compound GB2 and kernel densities

In GB2: Generalized Beta Distribution of the Second Kind: Properties, Likelihood, Estimation

Comparison of the GB2, compound GB2 and kernel densities

Description

Function dplot.cgb2 produces a plot in which the three densities are plotted.

Usage

dplot.cgb2(x,shape1, scale, shape2, shape3, pl0, pl, w=rep(1,length(x)), decomp="r", 
xmax = max(x)*(2/3), choicecol=1:3, kernel="epanechnikov", adjust=1, title=NULL,
ylim=NULL) 

Arguments

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, codeb, 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 mixture probabilities (output of ml.cgb2). Sums to one. If pl is equal to pl0, we obtain the GB2 distribution.
w	numeric; weights.
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.
xmax	numeric; maximum x value to be plotted.
choicecol	numeric vector of length 3; defines the color with which the density curves will be plotted.
adjust	numeric; graphical parameter of the generic function density.
title	string; title of the plot. By default is equall to NULL (no title).
ylim	string; scaling of parameters. By default is equall to NULL (automatic scaling).
kernel	string; the kernel used for the kernel density estimate. The default value is "Epanechnikov" (see plot.density).

Details

The legend is placed interactively.

Value

dplot.cgb2 plots a graph with three curves - the GB2 density, the compound GB2 density and the corresponding kernel estimate

Author(s)

Monique Graf and Desislava Nedyalkova

GB2 documentation built on June 22, 2022, 9:07 a.m.