Density, distribution function, quantile function, and random generation for the 4-parameter beta distribution in regression parameterization.
dbeta4(x, mu, phi, theta1 = 0, theta2 = 1 - theta1, log = FALSE)pbeta4(q, mu, phi, theta1 = 0, theta2 = 1 - theta1, lower.tail = TRUE, log.p = FALSE)
qbeta4(p, mu, phi, theta1 = 0, theta2 = 1 - theta1, lower.tail = TRUE, log.p = FALSE)
rbeta4(n, mu, phi, theta1 = 0, theta2 = 1 - theta1)
dbeta4
gives the density, pbeta4
gives the distribution
function, qbeta4
gives the quantile function, and rbeta4
generates random deviates.
numeric. Vector of quantiles.
numeric. Vector of probabilities.
numeric. Number of observations. If length(n) > 1
, the length is
taken to be the number required.
numeric. The mean of the beta distribution that is extended to support [theta1, theta2].
numeric. The precision parameter of the beta distribution that is extended to support [theta1, theta2].
numeric. The minimum and maximum, respectively,
of the 4-parameter beta distribution. By default a symmetric support is
chosen by theta2 = 1 - theta1
which reduces to the classic
beta distribution because of the default theta1 = 0
.
logical. If TRUE, probabilities p are given as log(p).
logical. If TRUE (default), probabilities are P[X <= x] otherwise, P[X > x].
The distribution is obtained by a linear transformation of a beta-distributed
random variable with intercept theta1
and slope theta2 - theta1
.
dbetar
, Beta4