| Beta {base} | R Documentation |
Density, distribution function, quantile function and random
generation for the Beta distribution with parameters shape1 and
shape2 (and optional non-centrality parameter ncp).
dbeta(x, shape1, shape2, ncp=0, log = FALSE) pbeta(q, shape1, shape2, ncp=0, lower.tail = TRUE, log.p = FALSE) qbeta(p, shape1, shape2, lower.tail = TRUE, log.p = FALSE) rbeta(n, shape1, shape2)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If length(n) > 1, the length
is taken to be the number required. |
shape1, shape2 |
positive parameters of the Beta distribution. |
ncp |
non-centrality parameter. |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
logical; if TRUE (default), probabilities are P[X <= x], otherwise, P[X > x]. |
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 where the boundary values at x=0 or x=1 are defined as by continuity (as limits).
dbeta gives the density, pbeta the distribution
function, qbeta the quantile function, and rbeta
generates random deviates.
Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) The New S Language. Wadsworth & Brooks/Cole.
beta for the Beta function, and dgamma for
the Gamma distribution.
x <- seq(0, 1, length=21) dbeta(x, 1, 1) pbeta(x, 1, 1)