The Loglogistic Distribution
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, prop = 1, log = FALSE) Hllogis(x, shape = 1, scale = 1, prop = 1, log.p = FALSE) rllogis(n, shape = 1, scale = 1)
shape, scale |
shape and scale parameters, both defaulting to 1. |
lower.tail |
logical; if TRUE (default), probabilities are P(X <= x), otherwise, P(X > x). |
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If |
log, log.p |
logical; if TRUE, probabilities p are given as log(p). |
prop |
proportionality constant in the extended Loglogistic distribution. |
The Loglogistic distribution with scale parameter a and shape
parameter b has hazard function given by
(b/a)(x/a)^(b-1)exp((x / a)^b)
for 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.
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