# Logis-class

0th

Percentile

##### Class "Logis"

The Logistic distribution with location $= \mu$, by default = 0, and scale $= \sigma$, by default = 1, has distribution function $$p(x) = \frac{1}{1 + e^{-(x-\mu)/\sigma}}$$ and density $$d(x)= \frac{1}{\sigma}\frac{e^{(x-\mu)/\sigma}}{(1 + e^{(x-\mu)/\sigma})^2}$$ It is a long-tailed distribution with mean $\mu$ and variance $\pi^2/3 \sigma^2$. C.f. rlogis

Keywords
distribution
##### Objects from the Class

Objects can be created by calls of the form Logis(location, scale). This object is a logistic distribution.

##### Extends

Class "AbscontDistribution", directly. Class "UnivariateDistribution", by class "AbscontDistribution". Class "Distribution", by class "AbscontDistribution".

##### concept

• absolutely continuous distribution
• Logistic distribution
• S4 distribution class
• location scale family

##### Aliases
• Logis-class
• Logis
• initialize,Logis-method
##### Examples
L <- Logis(location = 1,scale = 1)
# L is a logistic distribution with  location = 1 and scale = 1.
r(L)(1) # one random number generated from this distribution, e.g. 5.87557
d(L)(1) # Density of this distribution is 0.25 for x = 1.
p(L)(1) # Probability that x < 1 is 0.5.
q(L)(.1) # Probability that x < -1.197225 is 0.1.
location(L) # location of this distribution is 1.
location(L) <- 2 # location of this distribution is now 2.
Documentation reproduced from package distr, version 2.3.1, License: LGPL-3

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