Difference between revisions of "InverseLogistic Command"

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{{command|probability}}
 
{{command|probability}}
 
;InverseLogistic[ <Mean μ>, <Scale s>, <Probability p> ]
 
;InverseLogistic[ <Mean μ>, <Scale s>, <Probability p> ]
:Computes the inverse of cumulative distribution function of the [[w:Logistic_distribution|Logistic distribution]] at ''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 ''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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: {{Example| 1=<code>InverseLogistic[100,2,1]</code> computes <math> \infty </math>.}}

Revision as of 16:16, 4 July 2012


InverseLogistic[ <Mean μ>, <Scale s>, <Probability p> ]
Computes the inverse of cumulative distribution function of the Logistic distribution at 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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