Difference between revisions of "Cauchy Command"
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:Creates probability density function (pdf) of [[w:Cauchy distribution|Cauchy distribution]]. | :Creates probability density function (pdf) of [[w:Cauchy distribution|Cauchy distribution]]. | ||
;Cauchy[ <Median m>, <Scale s>, x, <Boolean Cumulative>] | ;Cauchy[ <Median m>, <Scale s>, x, <Boolean Cumulative>] | ||
| − | :If ''Cumulative'' is true, creates cumulative density function of | + | :If ''Cumulative'' is true, creates cumulative density 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''. | ;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).}} | :{{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).}} | ||
Revision as of 10:05, 21 July 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 density 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.
