Difference between revisions of "InverseLogNormal Command"
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;InverseLogNormal[ <Mean μ>, <Standard Devation σ>, <Probability p> ] | ;InverseLogNormal[ <Mean μ>, <Standard Devation σ>, <Probability p> ] | ||
: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 ''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]. | + | :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].}} | |
| − | : {{ | + | :{{Examples|1=<br><code>InverseLogNormal[10, 20, 1/3]</code> computes ''3.996''. <br><code>InverseLogNormal[100,2,1]</code> computes <math> \infty </math>.}} |
Revision as of 22:24, 26 January 2013
- InverseLogNormal[ <Mean μ>, <Standard Devation σ>, <Probability p> ]
- Computes the inverse of cumulative distribution function of the Log-Normal distribution at 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.
- Note: Probability p must be from [0,1].
- Examples:
InverseLogNormal[10, 20, 1/3]computes 3.996.InverseLogNormal[100,2,1]computes \infty .
