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 1.0

Index]