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.

- x
vector of quantiles.

- meanlog
mean in the Normal distribution.

- sdlog, shape
sdlog is standard deviation in the Normal distrimution, shape = 1/sdlog.

- scale
is exp(meanlog).

- prop
proportionality constant in the extended Lognormal distribution.

- log, log.p
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 \(x \ge 0\).