Difference between revisions of "Erlang Command"

From GeoGebra Manual
Jump to: navigation, search
m (Text replace - "<div class="box info"> 48px|left This page is part of the official manual for print and pdf. For structural reasons normal users can't edit this page. If you found any errors on this page please contact )
(pdf -> cdf)
 
(4 intermediate revisions by 3 users not shown)
Line 1: Line 1:
<noinclude>{{Manual Page|version=4.2}}</noinclude>
+
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}}
{{command|probability}}
+
;Erlang( <Shape>, <Rate>, x )
;Erlang[ <Shape k>, <Rate λ>, x ]
+
:Creates cumulative density function (cdf) 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 ''k, λ''.
+
;Erlang( <Shape>, <Rate>, x, <Boolean Cumulative> )
;Erlang[ <Shape k>, <Rate λ>, 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 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''.
+
;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==
 
;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''.
 

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).
© 2024 International GeoGebra Institute