Difference between revisions of "Gamma Command"

From GeoGebra Manual
Jump to: navigation, search
m (Bot: Automated text replacement (-{{command +{{command|cas=true))
m
Line 6: Line 6:
 
: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''.
 
;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).}}
+
:{{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==
 
==CAS Syntax==
 
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 11:02, 14 September 2012



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).

CAS Syntax

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.
© 2024 International GeoGebra Institute