Difference between revisions of "Weibull Command"
From GeoGebra Manual
m (removed extra CAS syntax) |
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)") |
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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 | + | ;Weibull( <Shape>, <Scale>, x ) |
:Creates probability density function (pdf) of [[w:Weibull distribution|Weibull distribution]] with parameters shape ''k'' and scale ''λ | :Creates probability density function (pdf) of [[w:Weibull distribution|Weibull distribution]] with parameters shape ''k'' and scale ''λ | ||
| − | ;Weibull | + | ;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. | ||
| − | ;Weibull | + | ;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''. | : 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).}} | :{{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).}} | ||
Revision as of 17:18, 7 October 2017
- Weibull( <Shape>, <Scale>, x )
- Creates probability density function (pdf) 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 } .
