Difference between revisions of "Gamma Command"
From GeoGebra Manual
m (capitalization) |
m (Bot: Automated text replacement (-cumulative density +cumulative distribution)) |
||
Line 4: | Line 4: | ||
: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''. | ||
;Gamma[ <Number α>, <Number β>, x, <Boolean Cumulative> ] | ;Gamma[ <Number α>, <Number β>, x, <Boolean Cumulative> ] | ||
− | :If ''Cumulative'' is true, creates 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''. | ;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| 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).}} |
Revision as of 10:24, 2 August 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 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 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.