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 1.0

Index]