R: Two-Sided Power Distribution

Two-Sided Power {rmutil} | R Documentation

## Two-Sided Power Distribution

### Description

These functions provide information about the two-sided power distribution with location parameter equal to `m` and shape equal to `s`: density, cumulative distribution, quantiles, and random generation.

The two-sided power distribution has density

f(y) = s(y/m)^(s-1), y<=m

f(y) = s((1-y)/(1-m))^(s-1), y>=m

where m is the location parameter of the distribution and s is the shape, and 0<y<1.

For s=1, this is the uniform distribution and for s=2, it is the triangular distribution.

### Usage

    dtwosidedpower(y, m, s=2, log=FALSE)
    ptwosidedpower(q, m, s=2)
    qtwosidedpower(p, m, s=2)
    rtwosidedpower(n, m, s=2)

### Arguments

`y` | vector of responses.
`q` | vector of quantiles.
`p` | vector of probabilities
`n` | number of values to generate
`m` | vector of location parameters.
`s` | vector of shape parameters.
`log` | if TRUE, log probabilities are supplied.

### Author(s)

J.K. Lindsey

### References

van Dorp, J.R. and Kotz, S. (2002) A novel extension of the triangular distribution and its parameter estimation. The Statistician 51, 63-79.

### See Also

`dbeta` for the beta distribution and `dsimplex` for the simplex distribution, other distributions for proportions between zero and one.

### Examples

    dtwosidedpower(0.3, 0.5, 3)
    ptwosidedpower(0.3, 0.5, 3)
    qtwosidedpower(0.1, 0.5, 3)
    rtwosidedpower(10, 0.5, 3)

[Package rmutil version 1.1.3 Index]