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The Beta Distribution

Syntax

dbeta(x, a, b)
pbeta(q, a, b)
qbeta(p, a, b)
rbeta(n, a, b)

Arguments

x,q vector of quantiles.
p vector of probabilities.
n number of observations to generate.
a, b positive parameters of the beta distribution.

Value

These functions provide information about the Beta distribution with parameters a and b. dbeta gives the density, pbeta the distribution function, qbeta the quantile function and rbeta generates random deviates.

The Beta distribution has density

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

((Equations will(?) come with HTML 3.x ))
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)