The logistic distribution
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The logistic distribution has a similar shape to the normal distribution
but has heavier tails.
 
![[SmartChart]](I/LogisticDistribution_files/image001.gif) 
 ![[SmartChart]](I/LogisticDistribution_files/image002.gif) 
 ![[SmartChart]](I/LogisticDistribution_files/image003.gif)
 
 
  | Distribution name | Logistic
  distribution | 
 
  | Common notation | 
 | 
 
  | Parameters |  =
  location parameter
  =
  scale parameter (  )
 | 
 
  | Domain | 
 | 
 
  | Probability density
  function | 
 where 
 | 
 
  | Cumulative distribution
  function | 
 | 
 
  | Mean | 
 | 
 
  | Variance | 
 | 
 
  | Skewness | 
 | 
 
  | (Excess) kurtosis | 
 | 
 
  | Characteristic function | 
 | 
 
  | Other comments | The logistic distribution is sometimes called the sech-square(d)
  distribution because its pdf can also be expressed in terms of the hyperbolic
  secan function: 
 It should not then be confused with the hyperbolic
  secant distribution. | 
 
Nematrian web functions
 
Functions relating to the above distribution may be accessed
via the Nematrian
web function library by using a DistributionName of “logistic”. For
details of other supported probability distributions see here.
 
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