Kappa Distribution

Description

Density, distribution function, quantile function and random generation for the kappa distribution with shape and scale parameters equal to shape and scale, respectively.

Usage

dkappa(x,shape=1,scale=1,log=FALSE)
pkappa(q,shape=1,scale=1,lower.tail=TRUE,log.p=FALSE)
qkappa(p,shape=1,scale=1,lower.tail=TRUE,log.p=FALSE)
rkappa(n,shape=1,scale=1)

Arguments

Details

If X is a random variable distributed according to a kappa distribution, it has density
f(x) = shape/scale*(shape+(x/scale)^shape)^(-(shape+1)/shape)

Value

dkappa gives the density, pkappa gives the distribution function, qkappa gives the quantile function, and rkappa generates random deviates.

Examples

x <- rkappa(1000,12,10)
hist(x,freq=FALSE,col='gray',border='white')
curve(dkappa(x,12,10),add=TRUE,col='red4',lwd=2)

Results

R version 3.3.1 (2016-06-21) -- "Bug in Your Hair"
Copyright (C) 2016 The R Foundation for Statistical Computing
Platform: x86_64-pc-linux-gnu (64-bit)

R is free software and comes with ABSOLUTELY NO WARRANTY.
You are welcome to redistribute it under certain conditions.
Type 'license()' or 'licence()' for distribution details.

R is a collaborative project with many contributors.
Type 'contributors()' for more information and
'citation()' on how to cite R or R packages in publications.

Type 'demo()' for some demos, 'help()' for on-line help, or
'help.start()' for an HTML browser interface to help.
Type 'q()' to quit R.

> library(FAdist)
> png(filename="/home/ddbj/snapshot/RGM3/R_CC/result/FAdist/KAPPA.Rd_%03d_medium.png", width=480, height=480)
> ### Name: KAPPA
> ### Title: Kappa Distribution
> ### Aliases: dkappa pkappa qkappa rkappa
> ### Keywords: distribution
> 
> ### ** Examples
> 
> x <- rkappa(1000,12,10)
> hist(x,freq=FALSE,col='gray',border='white')
> curve(dkappa(x,12,10),add=TRUE,col='red4',lwd=2)
> 
> 
> 
> 
> 
> dev.off()
null device 
          1 
>