Difference between revisions of "Weibull Command"

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:{{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).}}
 
:{{examples|1=<div>
 
:{{examples|1=<div>
:* <code><nowiki>Weibull[ 0.5, 1, 0]</nowiki></code> yields ''0''.
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:* <code><nowiki>Weibull(0.5, 1, 0)</nowiki></code> yields ''0''.
:* <code><nowiki>Weibull[ 0.5, 1, 1]</nowiki></code> yields ''<math>1 - \frac{1} { e } </math>.''</div>}}
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:* <code><nowiki>Weibull(0.5, 1, 1)</nowiki></code> yields ''<math>1 - \frac{1} { e } </math>.''</div>}}

Revision as of 11:26, 11 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 } .
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