Difference between revisions of "Erlang Command"

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m (removed extra CAS syntax)
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)")
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}}
;Erlang[ <Shape>, <Rate>, x ]
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;Erlang( <Shape>, <Rate>, x )
 
:Creates probability density function (pdf) of [[w:Erlang distribution|Erlang distribution]] with parameters shape ''k'' and rate ''λ''.
 
:Creates probability density function (pdf) of [[w:Erlang distribution|Erlang distribution]] with parameters shape ''k'' and rate ''λ''.
;Erlang[ <Shape>, <Rate>, x, <Boolean Cumulative> ]
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;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>, <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''.
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;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).}}

Revision as of 16:15, 7 October 2017


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).
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