Difference between revisions of "Weibull Command"
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: 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).}} | ||
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:{{examples|1=<div> | :{{examples|1=<div> | ||
:* <code><nowiki>Weibull[ 0.5, 1, 0]</nowiki></code> yields ''0''. | :* <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>}} | :* <code><nowiki>Weibull[ 0.5, 1, 1]</nowiki></code> yields ''<math>1 - \frac{1} { e } </math>.''</div>}} | ||
Revision as of 09:53, 21 September 2015
- 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 } .
