Difference between revisions of "Gamma Command"

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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|Gamma distribution]] with parameters ''α, β''.
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: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 Gamma distribution, otherwise creates pdf of Gamma distribution.
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: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''.
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;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).}}
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:{{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 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''.
+
: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.
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