Difference between revisions of "InverseLogNormal Command"

From GeoGebra Manual
Jump to: navigation, search
Line 1: Line 1:
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>  
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>  
 
{{command|probability}}
 
{{command|probability}}
;InverseLogNormal[ <Mean μ>, <Standard Devation σ>, <Probability p> ]
+
;InverseLogNormal[ <Mean>, <Standard Deviation>, <Probability> ]
: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 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.  
+
:In other words, it finds ''t'' such that ''P(X ≤ t) = p'', where ''X'' is a log-normal random variable.  
:{{Note|1=Probability ''p'' must be from [0,1].}}
+
:Probability ''p'' must be from [''0, 1''].
:{{Examples|1=<br><code>InverseLogNormal[10, 20, 1/3]</code> computes ''3.996''. <br><code>InverseLogNormal[100,2,1]</code> computes <math> \infty </math>.}}
+
:{{Examples|1=<div>
 +
:*<code><nowiki>InverseLogNormal[10, 20, 1/3]</nowiki></code> computes ''3.997''.  
 +
:*<code><nowiki>InverseLogNormal[1000, 2, 1]</nowiki></code> computes <math> \infty </math>.</div>}}

Revision as of 10:18, 5 September 2013



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 .
© 2021 International GeoGebra Institute