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

 KAPPA4 R Documentation

## 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].

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')