Difference between revisions of "Cauchy Command"
From GeoGebra Manual
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:{{note| Returns the probability for a given ''x''-coordinate's value (or area under the Cauchy distribution curve to the left of the given ''x''-coordinate).}} | :{{note| Returns the probability for a given ''x''-coordinate's value (or area under the Cauchy distribution curve to the left of the given ''x''-coordinate).}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
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;Cauchy[ <Median m>, <Scale s>, <Variable Value v> ] | ;Cauchy[ <Median m>, <Scale s>, <Variable Value v> ] | ||
:Calculates the value of cumulative distribution function of Cauchy distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Cauchy given by parameters ''m, s''. | :Calculates the value of cumulative distribution function of Cauchy distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Cauchy given by parameters ''m, s''. | ||
:{{example| 1=<div><code><nowiki>Cauchy[1, 2, 3]</nowiki></code> yields ''<math>\frac{3}{4}</math>''.</div>}} | :{{example| 1=<div><code><nowiki>Cauchy[1, 2, 3]</nowiki></code> yields ''<math>\frac{3}{4}</math>''.</div>}} | ||
Revision as of 12:15, 14 December 2012
- Cauchy[ <Median m>, <Scale s>, x ]
- Creates probability density function (pdf) of Cauchy distribution.
- Cauchy[ <Median m>, <Scale s>, x, <Boolean Cumulative>]
- If Cumulative is true, creates cumulative distribution function of Cauchy distribution, otherwise creates pdf of Cauchy distribution.
- Cauchy[ <Median m>, <Scale s>, <Variable Value v> ]
- Calculates the value of cumulative distribution function of Cauchy distribution at v, i.e. the probability P(X≤v) where X is a random variable with Cauchy given by parameters m, s.
- Note: Returns the probability for a given x-coordinate's value (or area under the Cauchy distribution curve to the left of the given x-coordinate).
CAS Syntax
- Cauchy[ <Median m>, <Scale s>, <Variable Value v> ]
- Calculates the value of cumulative distribution function of Cauchy distribution at v, i.e. the probability P(X≤v) where X is a random variable with Cauchy given by parameters m, s.
- Example:
Cauchy[1, 2, 3]yields \frac{3}{4}.
