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

Gamma(a+b)/(Gamma(a)Gamma(b))x^(a-1)(1-x)^(b-1)

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)


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