Difference between revisions of "Cauchy Command"
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==CAS Syntaxes== | ==CAS Syntaxes== | ||
In [[CAS View]] only following syntax is supported: | In [[CAS View]] only following syntax is supported: | ||
− | ;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''. | + | ;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| 1=<div><code><nowiki>Cauchy[1, 2, 3]</nowiki></code> gives ''3 / 4''.</div>}} |
Revision as of 13:50, 4 August 2011
- 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 Syntaxes
In CAS View only following syntax is supported:
- 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]
gives 3 / 4.