Difference between revisions of "Gamma Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
{{command|cas=true|probability}}
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;Gamma( <Number α>, <Number β>, x )
;Gamma[ <Number α>, <Number β>, x ]
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:Creates cumulative density function (cdf) of [[w:Gamma distribution|gamma distribution]] with parameters ''α, β''.
:Creates probability density function (pdf) of [[w:Gamma distribution|gamma distribution]] with parameters ''α, β''.
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;Gamma( <Number α>, <Number β>, x, <Boolean Cumulative> )
;Gamma[ <Number α>, <Number β>, x, <Boolean Cumulative> ]
 
 
:If ''Cumulative'' is true, creates cumulative distribution function of gamma distribution, otherwise creates pdf of gamma distribution.
 
:If ''Cumulative'' is true, creates cumulative distribution 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> )
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: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| 1=<div>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).</div>}}
 
:{{note| 1=<div>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).</div>}}
==CAS Syntax==
 
In the [[CAS View]] only the 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''.
 

Latest revision as of 11:18, 30 July 2019


Gamma( <Number α>, <Number β>, x )
Creates cumulative density function (cdf) of gamma distribution with parameters α, β.
Gamma( <Number α>, <Number β>, x, <Boolean Cumulative> )
If Cumulative is true, creates cumulative distribution 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).
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