Weibull {base} | R Documentation |
Density, distribution function, quantile function and random
generation for the Weibull distribution with parameters shape
and scale
.
dweibull(x, shape, scale = 1, log = FALSE) pweibull(q, shape, scale = 1, lower.tail = TRUE, log.p = FALSE) qweibull(p, shape, scale = 1, lower.tail = TRUE, log.p = FALSE) rweibull(n, shape, scale = 1)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations to generate. |
shape, scale |
shape and scale parameters. |
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]. |
If scale
is omitted it assumes the default value of 1
.
The Weibull distribution with shape
parameter a and
scale
parameter b has density given by
f(x) = (a/b) (x/b)^(a-1) exp(- (x/b)^a)
for x > 0.
dweibull
gives the density,
pweibull
gives the distribution function,
qweibull
gives the quantile function, and
rweibull
generates random deviates.
dexp
for the Exponential which is a special case of a
Weibull distribution.
x <- 1:10 all.equal(dweibull(x, shape = 1), dexp(x)) all.equal(pweibull(x, shape = 1, scale = pi), pexp(x, rate = 1/pi)) all.equal(qweibull(x/11, shape = 1, scale = pi), qexp(x/11, rate = 1/pi))