tlogis | R Documentation |

Density, distribution function, quantile function, and random generation for the left and/or right truncated logistic distribution.

```
dtlogis(x, location = 0, scale = 1, left = -Inf, right = Inf, log = FALSE)
ptlogis(q, location = 0, scale = 1, left = -Inf, right = Inf,
lower.tail = TRUE, log.p = FALSE)
qtlogis(p, location = 0, scale = 1, left = -Inf, right = Inf,
lower.tail = TRUE, log.p = FALSE)
rtlogis(n, location = 0, scale = 1, left = -Inf, right = Inf)
```

`x, q` |
vector of quantiles. |

`p` |
vector of probabilities. |

`n` |
number of observations. If |

`location` |
location parameter. |

`scale` |
scale parameter. |

`left` |
left truncation point. |

`right` |
right truncation point. |

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

`lower.tail` |
logical; if TRUE (default), probabilities are P[X <= x] otherwise, P[X > x]. |

If `location`

or `scale`

are not specified they assume the default values
of `0`

and `1`

, respectively. `left`

and `right`

have the defaults `-Inf`

and `Inf`

respectively.

The truncated logistic distribution has density

`f(x) = 1/\sigma \lambda((x - \mu)/\sigma) / (\Lambda((right - \mu)/\sigma) - \Lambda((left - \mu)/\sigma))`

for `left \le x \le right`

, and 0 otherwise.

`\Lambda`

and `\lambda`

are the cumulative distribution function
and probability density function of the standard logistic distribution
respectively, `\mu`

is the location of the distribution, and `\sigma`

the scale.

`dtlogis`

gives the density, `ptlogis`

gives the distribution
function, `qtlogis`

gives the quantile function, and `rtlogis`

generates random deviates.

`dlogis`

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