Difference between revisions of "InverseCauchy Command"
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| − | <noinclude>{{Manual Page|version=5.0}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}} |
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;InverseCauchy[ <Median>, <Scale>, <Probability> ] | ;InverseCauchy[ <Median>, <Scale>, <Probability> ] | ||
:Computes the inverse of cumulative distribution function of [[w:Cauchy distribution|Cauchy distribution]] at probability ''p'', where the Cauchy distribution is given by median ''m'' and scale ''s''. | :Computes the inverse of cumulative distribution function of [[w:Cauchy distribution|Cauchy distribution]] at probability ''p'', where the Cauchy distribution is given by median ''m'' and scale ''s''. | ||
:In other words, finds ''t'' such that ''P(X ≤ t) = p'', where ''X'' is Cauchy random variable. | :In other words, finds ''t'' such that ''P(X ≤ t) = p'', where ''X'' is Cauchy random variable. | ||
:Probability ''p'' must be from [0,1]. | :Probability ''p'' must be from [0,1]. | ||
Revision as of 13:19, 5 August 2015
- InverseCauchy[ <Median>, <Scale>, <Probability> ]
- Computes the inverse of cumulative distribution function of Cauchy distribution at probability p, where the Cauchy distribution is given by median m and scale s.
- In other words, finds t such that P(X ≤ t) = p, where X is Cauchy random variable.
- Probability p must be from [0,1].
