R: Simplex Distribution

Simplex {rmutil} | R Documentation

## Simplex Distribution

### Description

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

The simplex distribution has density

f(y) = exp(-((y-m)/(m(1-m)))^2/(2y(1-y)s))/sqrt(2 pi s(y(1-y))^3)

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

### Usage

    dsimplex(y, m, s, log=FALSE)
    psimplex(q, m, s)
    qsimplex(p, m, s)
    rsimplex(n, m, s)

### 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

### See Also

`dbeta` for the beta distribution and `dtwosidedpower` for the two-sided power distribution, other distributions for proportions between zero and one.

### Examples

    dsimplex(0.3, 0.5, 1)
    psimplex(0.3, 0.5, 1)
    qsimplex(0.1, 0.5, 1)
    rsimplex(10, 0.5, 1)

[Package rmutil version 1.1.3 Index]