Difference between revisions of "Weibull Command"

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(command syntax: changed [ ] into ( ))
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
 
<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
 
;Weibull( <Shape>, <Scale>, x )
 
;Weibull( <Shape>, <Scale>, x )
:Creates probability density function (pdf) of [[w:Weibull distribution|Weibull distribution]] with parameters shape ''k'' and scale ''λ
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:Creates cumulative density function (cdf) of [[w:Weibull distribution|Weibull distribution]] with parameters shape ''k'' and scale ''λ
 
;Weibull( <Shape>, <Scale>, x, <Boolean Cumulative> )
 
;Weibull( <Shape>, <Scale>, x, <Boolean Cumulative> )
 
:If ''Cumulative'' is true, creates cumulative distribution function of Weibull distribution, otherwise creates pdf of Weibull distribution.
 
:If ''Cumulative'' is true, creates cumulative distribution function of Weibull distribution, otherwise creates pdf of Weibull distribution.

Latest revision as of 11:21, 30 July 2019


Weibull( <Shape>, <Scale>, x )
Creates cumulative density function (cdf) of Weibull distribution with parameters shape k and scale λ
Weibull( <Shape>, <Scale>, x, <Boolean Cumulative> )
If Cumulative is true, creates cumulative distribution function of Weibull distribution, otherwise creates pdf of Weibull distribution.
Weibull( <Shape>, <Scale>, <Variable Value> )
Calculates the value of cumulative distribution function of Weibull distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with Weibull distribution given by parameters shape k and scale λ.
Note: Returns the probability for a given x-coordinate's value (or area under the Weibull distribution curve to the left of the given x-coordinate).
Examples:
  • Weibull(0.5, 1, 0) yields 0.
  • Weibull(0.5, 1, 1) yields 1 - \frac{1} { e } .
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