Difference between revisions of "InverseLogistic Command"

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{{command|probability}}
 
{{command|probability}}
 
;InverseLogistic[ <Mean>, <Scale>, <Probability> ]
 
;InverseLogistic[ <Mean>, <Scale>, <Probability> ]
:Computes the inverse of cumulative distribution function of the [[w:Logistic_distribution|Logistic distribution]] at probability ''p'', where the Logistic distribution is given by mean ''μ'' and scale ''s''. In other words, finds ''t'' such that ''P(X ≤ t) = p'', where X is a Logistic random variable. Probability ''p'' must be from [0,1].
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:Computes the inverse of cumulative distribution function of the [[w:Logistic_distribution|Logistic distribution]] at probability ''p'', where the Logistic distribution is given by mean ''μ'' and scale ''s''.  
 +
:In other words, finds ''t'' such that ''P(X ≤ t) = p'', where ''X'' is a Logistic random variable.  
 +
:Probability ''p'' must be from [0,1].
 
{{Example| 1=<code>InverseLogistic[100, 2, 1]</code> computes ''<math> \infty </math>''.}}
 
{{Example| 1=<code>InverseLogistic[100, 2, 1]</code> computes ''<math> \infty </math>''.}}

Revision as of 11:27, 25 March 2013



InverseLogistic[ <Mean>, <Scale>, <Probability> ]
Computes the inverse of cumulative distribution function of the Logistic distribution at probability p, where the Logistic distribution is given by mean μ and scale s.
In other words, finds t such that P(X ≤ t) = p, where X is a Logistic random variable.
Probability p must be from [0,1].
Example: InverseLogistic[100, 2, 1] computes \infty .
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