Difference between revisions of "Erlang Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
{{command|probability}}
 
{{command|probability}}
;Erlang[ <Shape k>, <Rate λ>, <Mode mod>, x ]
+
;Erlang[ <Shape k>, <Rate λ>, x ]
 
:Creates probability density function (pdf) of [[w:Erlang distribution|Erlang distribution]] with parameters ''k, λ''.
 
:Creates probability density function (pdf) of [[w:Erlang distribution|Erlang distribution]] with parameters ''k, λ''.
 
;Erlang[ <Shape k>, <Rate λ>, x, <Boolean Cumulative> ]
 
;Erlang[ <Shape k>, <Rate λ>, x, <Boolean Cumulative> ]

Revision as of 14:56, 21 July 2011



Erlang[ <Shape k>, <Rate λ>, x ]
Creates probability density function (pdf) of Erlang distribution with parameters k, λ.
Erlang[ <Shape k>, <Rate λ>, x, <Boolean Cumulative> ]
If Cumulative is true, creates cumulative density function of Erlang distribution, otherwise creates pdf of Erlang distribution.
Erlang[ <Shape k>, <Rate λ>, <Variable Value v> ]
Calculates the value of cumulative distribution function of Erlang distribution at v, i.e. the probability P(X≤v) where X is a random variable with Erlang distribution given by parameters k, 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 Syntaxes

In CAS View only following syntax is supported:

Erlang[ <Shape k>, <Rate λ>, <Variable Value v>]
Calculates the value of cumulative distribution function of Erlang distribution at v, i.e. the probability P(X≤v) where X is a random variable with Erlang distribution given by parameters k, λ.
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