# Difference between revisions of "InverseLogNormal Command"

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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude> {{command|probability}} |

− | {{command|probability}} | + | ;InverseLogNormal( <Mean>, <Standard Deviation>, <Probability> ) |

− | ;InverseLogNormal | ||

: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 .