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.
Author
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.