KAPPA4: Four-Parameter Kappa Distribution

In FAdist: Distributions that are Sometimes Used in Hydrology

Four-Parameter Kappa Distribution

Description

Density, distribution function, quantile function and random generation for the four-parameter kappa distribution with shape1, shape2, scale, and location parameters equal to shape1, shape2, scale, and location, respectively.

Usage

dkappa4(x,shape1,shape2,scale=1,location=0,log=FALSE)
pkappa4(q,shape1,shape2,scale=1,location=0,lower.tail=TRUE,log.p=FALSE)
qkappa4(p,shape1,shape2,scale=1,location=0,lower.tail=TRUE,log.p=FALSE)
rkappa4(n,shape1,shape2,scale=1,location=0)

Arguments

x,q	vector of quantiles.
p	vector of probabilities.
n	number of observations.
shape1	shape parameter.
shape2	shape parameter.
scale	scale parameter.
location	location parameter.
log,log.p	logical; if TRUE, probabilities p are given as log(p).
lower.tail	logical; if TRUE (default), probabilities are P[X <= x],otherwise, P[X > x].

Details

See References

Value

dkappa4 gives the density, pkappa4 gives the distribution function, qkappa4 gives the quantile function, and rkappa4 generates random deviates.

References

Hosking, J.R.M. (1994). The four-parameter kappa distribution. IBM Journal of Research and Development, 38(3), 251-258.

Examples

x <- rkappa4(1000,.1,.2,12,110)
hist(x,freq=FALSE,col='gray',border='white')
curve(dkappa4(x,.1,.2,12,110),add=TRUE,col='red4',lwd=2)

FAdist documentation built on March 18, 2022, 5:24 p.m.