TITLE(Weibull @@ The Weibull Distribution)
USAGE(
dweibull(x, shape, scale=1)
pweibull(q, shape, scale=1)
qweibull(p, shape, scale=1)
rweibull(n, shape, scale=1)
)
ALIAS(dweibull)
ALIAS(pweibull)
ALIAS(qweibull)
ALIAS(rweibull)
DESCRIPTION(
These functions provide information about the Weibull distribution
with parameters LANG(shape) and LANG(scale).  LANG(dweibull) gives the
density, LANG(pweibull) gives the distribution function LANG(qweibull)
gives the quantile function and LANG(rweibull) generates random
deviates.
PARA
The Weibull distribution with LANG(shape) parameter EQN(a)
and LANG(scale) parameter EQN(b) has density given by
DEQN(
f(x) = (a/b) SUP((x/b)@@a-1) EXP (-SUP((x/b)@@a))
@@
f(x) = (a/b) (x/b)^(a-1) exp(- (x/b)^a)
)
for EQN(x GT 0).
)
SEEALSO(
LANG(LINK(dexp)) for the Exponential which is a special case of a Weibull
distribution. 
)
EXAMPLES(
x <- 1:10
dweibull(x, shape=1) == dexp(x)
pweibull(x, shape=1, scale=pi) == pexp(x, rate= 1/pi)
qweibull(x/11, shape=1, scale=pi) == qexp(x/11, rate= 1/pi)
)
KEYWORD(distribution)
