Beta {base}

R Documentation

The Beta Distribution

Usage

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

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)

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