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}}
 
 
;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''.
 
:Creates probability density function (pdf) of [[w:Gamma distribution|gamma distribution]] with parameters ''α, β''.
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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''.
 
: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==
 
;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 10:14, 3 September 2015


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 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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