Weibull {base} | R Documentation |
These functions provide information about the Weibull distribution
with parameters shape
and scale
. dweibull
gives
the density, pweibull
gives the distribution function,
qweibull
gives the quantile function and rweibull
generates random deviates.
dweibull(x, shape, scale = 1) pweibull(q, shape, scale = 1) qweibull(p, shape, scale = 1) 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. |
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.
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))