Density, distribution function, quantile function, hazard function,
cumulative hazard function, and random generation for the Lognormal distribution
with parameters shape
and scale
.
hlnorm(x, meanlog = 0, sdlog = 1, shape = 1 / sdlog, scale = exp(meanlog),
prop = 1, log = FALSE)
Hlnorm(x, meanlog = 0, sdlog = 1, shape = 1 / sdlog, scale = exp(meanlog),
prop = 1, log.p = FALSE)
dlnorm
gives the density, plnorm
gives the distribution
function, qlnorm
gives the quantile function, hlnorm
gives the
hazard function, Hlnorm
gives the cumulative hazard function, and
rlnorm
generates random deviates.
Invalid arguments will result in return value NaN
, with a warning.
vector of quantiles.
mean in the Normal distribution.
sdlog is standard deviation in the Normal distrimution, shape = 1/sdlog.
is exp(meanlog).
proportionality constant in the extended Lognormal distribution.
logical; if TRUE, probabilities p are given as log(p).
The Lognormal distribution with scale
parameter \(a\) and shape
parameter \(\sigma\) has hazard function given by $$h(x) =
(b/\sigma)(x/\sigma)^(b-1)\exp((x / \sigma)^b)$$ for \(x \ge 0\).