Difference between revisions of "Erlang Command"

Latest revision as of 11:16, 30 July 2019

Erlang( <Shape>, <Rate>, x ): Creates cumulative density function (cdf) 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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-<noinclude>{{Manual Page|version=4.0}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}}
-{{command|probability}}
+;Erlang( <Shape>, <Rate>, x )
-;Erlang[ <Shape>, <Rate>, x ]
+:Creates cumulative density function (cdf) of [[w:Erlang distribution|Erlang distribution]] with parameters shape ''k'' and rate ''λ''.
-:{{description}}
+;Erlang( <Shape>, <Rate>, x, <Boolean Cumulative> )
-;Erlang[ <Shape>, <Rate>, x, <Boolean Cumulative> ]
+:If ''Cumulative'' is true, creates cumulative distribution function of Erlang distribution, otherwise creates pdf of Erlang distribution.
-:{{description}}
+;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''.
-;Erlang[ <Shape>, <Rate>, <Variable Value> ]
+:{{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).}}
-:{{description}}