Two-Sided Power {rmutil}

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(\frac{y}{m})^{s-1}, y<=m

f(y) =s(\frac{1-y}{1-m})^{s-1}, y>=m

where \mu is the location parameter of the distribution and \sigma is the shape, and 0<y<1.

For \sigma=1, this is the uniform distribution and for \sigma=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)