shape
and scale
.dllogis(x, shape = 1, scale = 1, log = FALSE)
pllogis(q, shape = 1, scale = 1, lower.tail = TRUE, log.p = FALSE)
qllogis(p, shape = 1, scale = 1, lower.tail = TRUE, log.p = FALSE)
hllogis(x, shape = 1, scale = 1, log = FALSE)
Hllogis(x, shape = 1, scale = 1, log.p = FALSE)
rllogis(n, shape = 1, scale = 1)
length(n) > 1
, the length
is taken to be the number required.dllogis
gives the density,
pllogis
gives the distribution function,
qllogis
gives the quantile function,
hllogis
gives the hazard function,
Hllogis
gives the cumulative hazard function, and
rllogis
generates random deviates. Invalid arguments will result in return value NaN
, with a warning.
shape
parameter $a$ and
scale
parameter $\sigma$ has density given by
$$f(x) = (a/\sigma) {(x/\sigma)}^{a-1} / (1 + {(x/\sigma)}^{a})^2$$
for $x \ge 0$.
The cumulative distribution function is
$F(x) = 1 - 1 / (1 + {(x/\sigma)}^a)$
on $x \ge 0$.