LLOGIS3 | R Documentation |

Density, distribution function, quantile function and random generation for the 3-parameter log-logistic distribution with shape, scale, and threshold (or shift) parameters equal to `shape`

, `scale`

, and `thres`

, respectively.

dllog3(x,shape=1,scale=1,thres=0,log=FALSE) pllog3(q,shape=1,scale=1,thres=0,lower.tail=TRUE,log.p=FALSE) qllog3(p,shape=1,scale=1,thres=0,lower.tail=TRUE,log.p=FALSE) rllog3(n,shape=1,scale=1,thres=0)

`x,q` |
vector of quantiles. |

`p` |
vector of probabilities. |

`n` |
number of observations. |

`shape` |
shape parameter. |

`scale` |
scale parameter. |

`thres` |
threshold (or shift) parameter. |

`log,log.p` |
logical; if TRUE, probabilities p are given as log(p). |

`lower.tail` |
logical; if TRUE (default), probabilities are |

If *Y* is a random variable distributed according to a logistic distribution (with location and scale parameters), then *X = exp(Y)+m* has a 3-parameter
log-logistic distribution with shape and scale parameters corresponding to the scale and location parameteres of *Y*, respectively; and threshold parameter *m*.

`dllog3`

gives the density, `pllog3`

gives the distribution function, `qllog3`

gives the quantile function, and `rllog3`

generates random deviates.

`dlogis`

, `plogis`

, `qlogis`

, `rlogis`

, `dllog`

, `pllog`

, `qllog`

, `rllog`

m <- 100 x <- rllog3(10,1,0,m) dllog3(x,1,0,m) dllog(x-m,1,0) dlogis(log(x-m),0,1)/(x-m)

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