Difference between revisions of "InverseLogNormal Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|probability}} | <noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|probability}} | ||
| − | ;InverseLogNormal | + | ;InverseLogNormal( <Mean>, <Standard Deviation>, <Probability> ) |
: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 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. | ||
:Probability ''p'' must be from [''0, 1'']. | :Probability ''p'' must be from [''0, 1'']. | ||
:{{Examples|1=<div> | :{{Examples|1=<div> | ||
| − | :*<code><nowiki>InverseLogNormal | + | :*<code><nowiki>InverseLogNormal(10, 20, 1/3)</nowiki></code> computes ''3.997''. |
| − | :*<code><nowiki>InverseLogNormal | + | :*<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 .
