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)

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). |

`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.

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 \(x \ge 0\).