# KAPPA4: Four-Parameter Kappa Distribution In FAdist: Distributions that are Sometimes Used in Hydrology

## 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

 ```1 2 3 4``` ```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].

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

 ```1 2 3``` ```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) ```

### Example output

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FAdist documentation built on April 17, 2020, 1:24 a.m.