Loglogistic {eha} | R Documentation |
Density, distribution function, quantile function, hazard function,
cumulative hazard function, and random
generation for the Loglogistic distribution with parameters 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)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If length(n) > 1 , the length
is taken to be the number required. |
shape, scale |
shape and scale parameters, both defaulting to 1. |
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]. |
The Loglogistic distribution with shape
parameter a and
scale
parameter b has density given by
f(x) = (a/b) (x/b)^(a-1) / (1 + (x/b)^a)^2
for x >= 0. The cumulative distribution function is F(x) = 1 - 1 / (1 + (x/b)^a) on x >= 0.
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.