Difference between revisions of "InverseLogNormal Command"

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{{command|probability}}
 
{{command|probability}}
 
;InverseLogNormal[ <Mean μ>, <Standard Devation σ>, <Probability p> ]
 
;InverseLogNormal[ <Mean μ>, <Standard Devation σ>, <Probability p> ]
:Computes the inverse of cumulative distribution function of the [[w:Log-normal_distribution|Log-Normal distribution]] at ''p'', where the Log-Normal distribution is given by mean ''μ'' and standard devation ''σ''. In other words, finds ''t'' such that ''P(X≤t)=p'', where X is a Log-Normal random variable. Probability ''p'' must be from [0,1].
+
:Computes the inverse of cumulative distribution function of the [[w:Log-normal_distribution|Log-Normal distribution]] at ''p'', where the Log-Normal distribution is given by mean ''μ'' and standard devation ''σ''.  
 +
:In other words, it finds ''t'' such that ''P(X≤t)=p'', where X is a Log-Normal random variable. Probability ''p'' must be from [0,1].
 +
 
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: {{Example| 1=<code>InverseLogNormal[100,2,1]</code> computes <math> \infty </math>.}}

Revision as of 17:41, 25 June 2012


InverseLogNormal[ <Mean μ>, <Standard Devation σ>, <Probability p> ]
Computes the inverse of cumulative distribution function of the Log-Normal distribution at p, where the Log-Normal distribution is given by mean μ and standard devation σ.
In other words, it finds t such that P(X≤t)=p, where X is a Log-Normal random variable. Probability p must be from [0,1].
Example: InverseLogNormal[100,2,1] computes \infty .
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