| Beta {base} | R Documentation |
The Beta Distribution
Usage
dbeta(x, shape1, shape2, ncp=0)
pbeta(q, shape1, shape2, ncp=0)
qbeta(p, shape1, shape2)
rbeta(n, shape1, shape2)
Arguments
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations to generate. |
shape1, shape2 |
positive parameters of the beta distribution. |
ncp |
non-centrality parameter. |
Value
These functions provide information about the Beta distribution
with parameters shape1 and shape2 (and optional non-centrality
parameter ncp). dbeta gives the density,
pbeta the distribution function, qbeta the
quantile function and rbeta generates random deviates.
The Beta distribution with parameters shape1 = a and shape2
= b has density
f(x)=\frac{\Gamma (a + b )}{\Gamma (a) \Gamma (b)}{x}^{a} {(1-x)}^{b}%
for a > 0, b > 0 and 0 < x < 1.
See Also
beta for the beta function, and dgamma for the
Gamma distribution.
Examples
x <- seq(0,1, length=21)
dbeta(x, 1, 1)
pbeta(x, 1, 1)