Difference between revisions of "InverseLogNormal Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=4.2}}</noinclude> | <noinclude>{{Manual Page|version=4.2}}</noinclude> | ||
{{command|probability}} | {{command|probability}} | ||
| − | ;InverseLogNormal[ <Mean | + | ;InverseLogNormal[ <Mean>, <Standard Deviation>, <Probability> ] |
| − | :Computes the inverse of cumulative distribution function of the [[w:Log-normal_distribution| | + | :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( | + | :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|1=< | + | :{{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 .
