Difference between revisions of "Gamma Command"
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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''. | + | ;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| 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== | ==CAS Syntax== | ||
In the [[CAS View]] only the following syntax is supported: | In the [[CAS View]] only the 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 10:14, 17 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 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.
