Difference between revisions of "Erlang Command"

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;Erlang[ <Shape>, <Rate>, x ]
 
;Erlang[ <Shape>, <Rate>, x ]

Revision as of 10:28, 23 July 2015



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).
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