rmutil (version 1.1.4)

Simplex: 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 $$ f(y) = \frac{1}{\sqrt(2\pi\sigma(y(1-y))^3)} \exp(-((y-\mu)/(\mu(1-\mu)))^2/(2y(1-y)\sigma))$$ where \(\mu\) is the location parameter of the distribution and \(\sigma\) 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.

See Also

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

Examples

# NOT RUN {
dsimplex(0.3, 0.5, 1)
psimplex(0.3, 0.5, 1)
qsimplex(0.1, 0.5, 1)
rsimplex(10, 0.5, 1)
# }