Difference between revisions of "Erlang Command"
From GeoGebra Manual
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| − | ;Erlang[ <Shape | + | ;Erlang[ <Shape>, <Rate>, x ] |
| − | :Creates probability density function (pdf) of [[w:Erlang distribution|Erlang distribution]] with parameters ''k | + | :Creates probability density function (pdf) of [[w:Erlang distribution|Erlang distribution]] with parameters shape ''k'' and rate ''λ''. |
| − | ;Erlang[ <Shape | + | ;Erlang[ <Shape>, <Rate>, x, <Boolean Cumulative> ] |
:If ''Cumulative'' is true, creates cumulative distribution function of Erlang distribution, otherwise creates pdf of Erlang distribution. | :If ''Cumulative'' is true, creates cumulative distribution function of Erlang distribution, otherwise creates pdf of Erlang distribution. | ||
| − | ;Erlang[ <Shape | + | ;Erlang[ <Shape>, <Rate>, <Variable Value> ]: Calculates the value of cumulative distribution function of Erlang distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with Erlang distribution given by parameters shape ''k'' and rate ''λ''. |
:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the Erlang 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 Erlang distribution curve to the left of the given ''x''-coordinate).}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;Erlang[ <Shape k>, <Rate | + | ;Erlang[ <Shape>, <Rate>, x ] |
| − | :Calculates the value of cumulative distribution function of Erlang distribution at ''v'', i.e. the probability ''P( | + | :Creates probability density function (pdf) of [[w:Erlang distribution|Erlang distribution]] with parameters shape ''k'' and rate ''λ''. |
| + | ;Erlang[ <Shape>, <Rate>, x, <Boolean Cumulative> ] | ||
| + | :If ''Cumulative'' is true, creates cumulative distribution function of Erlang distribution, otherwise creates pdf of Erlang distribution. | ||
| + | ;Erlang[ <Shape>, <Rate>, <Variable Value> ]: Calculates the value of cumulative distribution function of Erlang distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with Erlang distribution given by parameters shape ''k'' and rate ''λ''. | ||
| + | :{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the Erlang distribution curve to the left of the given ''x''-coordinate).}} | ||
Revision as of 13:50, 21 May 2013
- Erlang[ <Shape>, <Rate>, x ]
- Creates probability density function (pdf) of Erlang distribution with parameters shape k and rate λ.
- Erlang[ <Shape>, <Rate>, x, <Boolean Cumulative> ]
- If Cumulative is true, creates cumulative distribution function of Erlang distribution, otherwise creates pdf of Erlang distribution.
- Erlang[ <Shape>, <Rate>, <Variable Value> ]
- Calculates the value of cumulative distribution function of Erlang distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with Erlang distribution given by parameters shape k and rate λ.
- Note: Returns the probability for a given x-coordinate's value (or area under the Erlang distribution curve to the left of the given x-coordinate).
CAS Syntax
- Erlang[ <Shape>, <Rate>, x ]
- Creates probability density function (pdf) of Erlang distribution with parameters shape k and rate λ.
- Erlang[ <Shape>, <Rate>, x, <Boolean Cumulative> ]
- If Cumulative is true, creates cumulative distribution function of Erlang distribution, otherwise creates pdf of Erlang distribution.
- Erlang[ <Shape>, <Rate>, <Variable Value> ]
- Calculates the value of cumulative distribution function of Erlang distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with Erlang distribution given by parameters shape k and rate λ.
- Note: Returns the probability for a given x-coordinate's value (or area under the Erlang distribution curve to the left of the given x-coordinate).
