Difference between revisions of "Gamma Command"
From GeoGebra Manual
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{{command|probability}} | {{command|probability}} | ||
− | ;Gamma[ < | + | ;Gamma[ <Number α>, <Number β>, x ] |
− | :{{ | + | :Creates probability density function (pdf) of [[w:Gamma distribution|Gamma distribution]] with parameters ''α, β''. |
+ | ;Gamma[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x, <Boolean Cumulative> ] | ||
+ | :If ''Cumulative'' is true, creates cumulative density function of Gamma distribution, otherwise creates pdf of Gamma distribution. | ||
+ | ; Gamma[ <Number α>, <Number β>, <Variable Value v> ]: Calculates the value of cumulative distribution function of Gamma distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Gamma distribution given by parameters ''α, β''. | ||
+ | :{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the Gamma distribution curve to the left of the given ''x''-coordinate).}} | ||
+ | ==CAS Syntaxes== | ||
+ | In [[CAS View]] only following syntax is supported: | ||
+ | ;Gamma[<Number α>, <Number β>, <Variable Value v>] | ||
+ | :Calculates the value of cumulative distribution function of Gamma distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Gamma distribution given by parameters ''α, β''. |
Revision as of 12:42, 21 July 2011
- Gamma[ <Number α>, <Number β>, x ]
- Creates probability density function (pdf) of Gamma distribution with parameters α, β.
- Gamma[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x, <Boolean Cumulative> ]
- If Cumulative is true, creates cumulative density function of Gamma distribution, otherwise creates pdf of Gamma distribution.
- Gamma[ <Number α>, <Number β>, <Variable Value v> ]
- Calculates the value of cumulative distribution function of Gamma distribution at v, i.e. the probability P(X≤v) where X is a random variable with Gamma distribution given by parameters α, β.
- Note: Returns the probability for a given x-coordinate's value (or area under the Gamma distribution curve to the left of the given x-coordinate).
CAS Syntaxes
In CAS View only following syntax is supported:
- Gamma[<Number α>, <Number β>, <Variable Value v>]
- Calculates the value of cumulative distribution function of Gamma distribution at v, i.e. the probability P(X≤v) where X is a random variable with Gamma distribution given by parameters α, β.