The log-logistic distribution
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![[SmartChart]](I/LogLogisticDistribution_files/image001.gif)
![[SmartChart]](I/LogLogisticDistribution_files/image002.gif)
![[SmartChart]](I/LogLogisticDistribution_files/image003.gif)
 
 
  | Distribution name | Log-logistic
  distribution | 
 
  | Common notation | 
 | 
 
  | Parameters |  =
  scale parameter (  )
  =
  shape parameter (  )
 | 
 
  | Domain | 
 | 
 
  | Probability density
  function | 
 | 
 
  | Cumulative distribution
  function | 
 | 
 
  | Mean | 
 where  and  is the cosecant
  function | 
 
  | Variance | 
 | 
 
  | Other comments | Is also called the Fisk distribution. Its non-central
  moments are (if  : 
 | 
 
Nematrian web functions
 
Functions relating to the above distribution may be accessed
via the Nematrian
web function library by using a DistributionName of “loglogistic”.
Functions relating to a generalised version of this distribution including an
additional location (i.e. shift) parameter may be accessed by using a DistributionName
of “loglogistic3”, see also including
additional shift and scale parameters. For details of other supported
probability distributions see here.
 
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