Difference between revisions of "InverseLogNormal Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>  
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<noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|probability}}
{{command|probability}}
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;InverseLogNormal( <Mean>, <Standard Deviation>, <Probability> )
;InverseLogNormal[ <Mean μ>, <Standard Devation σ>, <Probability p> ]
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:Computes the inverse of cumulative distribution function of the [[w:Log-normal_distribution|log-normal distribution]] at probability ''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''.  
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:In other words, it finds ''t'' such that ''P(X ≤ t) = p'', where ''X'' is a log-normal random variable.  
:In other words, it finds ''t'' such that ''P(X≤t)=p'', where X is a Log-Normal random variable.  
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:Probability ''p'' must be from [''0, 1''].
:{{Note|1=Probability ''p'' must be from [0,1].}}
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:{{Examples|1=<div>
:{{Examples|1=<br><code>InverseLogNormal[10, 20, 1/3]</code> computes ''3.996''. <br><code>InverseLogNormal[100,2,1]</code> computes <math> \infty </math>.}}
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:*<code><nowiki>InverseLogNormal(10, 20, 1/3)</nowiki></code> computes ''3.997''.  
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:*<code><nowiki>InverseLogNormal(1000, 2, 1)</nowiki></code> computes <math> \infty </math>.</div>}}

Latest revision as of 11:14, 11 October 2017


InverseLogNormal( <Mean>, <Standard Deviation>, <Probability> )
Computes the inverse of cumulative distribution function of the log-normal distribution at probability 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].
Examples:
  • InverseLogNormal(10, 20, 1/3) computes 3.997.
  • InverseLogNormal(1000, 2, 1) computes \infty .
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