Difference between revisions of "InverseLogNormal Command"

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;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''.  
 
: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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:In other words, it finds ''t'' such that ''P(X≤t)=p'', where X is a Log-Normal random variable.  
 
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:{{Note|1=Probability ''p'' must be from [0,1].}}
: {{Example| 1=<code>InverseLogNormal[100,2,1]</code> computes <math> \infty </math>.}}
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:{{Examples|1=<br><code>InverseLogNormal[10, 20, 1/3]</code> computes ''3.996''. <br><code>InverseLogNormal[100,2,1]</code> computes <math> \infty </math>.}}

Revision as of 22:24, 26 January 2013



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.
Note: Probability p must be from [0,1].
Examples:
InverseLogNormal[10, 20, 1/3] computes 3.996.
InverseLogNormal[100,2,1] computes \infty .
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