Difference between revisions of "Gamma Command"
From GeoGebra Manual
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{{command|probability}} | {{command|probability}} | ||
;Gamma[ <Number α>, <Number β>, x ] | ;Gamma[ <Number α>, <Number β>, x ] | ||
− | :Creates probability density function (pdf) of [[w:Gamma distribution| | + | :Creates probability density function (pdf) of [[w:Gamma distribution|gamma distribution]] with parameters ''α, β''. |
;Gamma[ <Number α>, <Number β>, x, <Boolean Cumulative> ] | ;Gamma[ <Number α>, <Number β>, x, <Boolean Cumulative> ] | ||
− | :If ''Cumulative'' is true, creates cumulative density function of | + | :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[ <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 | + | :{{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== | ==CAS Syntaxes== | ||
In [[CAS View]] only following syntax is supported: | In [[CAS View]] only following syntax is supported: | ||
;Gamma[<Number α>, <Number β>, <Variable Value v>] | ;Gamma[<Number α>, <Number β>, <Variable Value v>] | ||
− | :Calculates the value of cumulative distribution function of | + | :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 15:18, 21 July 2011
- Gamma[ <Number α>, <Number β>, x ]
- Creates probability density function (pdf) of gamma distribution with parameters α, β.
- Gamma[ <Number α>, <Number β>, 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.