WeibullDistribution

WeibullDistribution[α,β]
represents a Weibull distribution with shape parameter α and scale parameter β.

WeibullDistribution[α,β,μ]
represents a Weibull distribution with shape parameter α, scale parameter β, and location parameter μ.

DetailsDetails

  • The probability density for value in a Weibull distribution is proportional to for , and is zero for . »
  • The probability density for value in a Weibull distribution with location parameter is proportional to for and is zero for .
  • WeibullDistribution allows α and β to be any positive real numbers and μ to be any real number.
  • WeibullDistribution can be used with such functions as Mean, CDF, and RandomVariate. »

ExamplesExamplesopen allclose all

Basic Examples  (5)Basic Examples  (5)

Probability density function:

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With location parameter:

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Cumulative distribution function:

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With location parameter:

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Mean:

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Variance:

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Median:

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Introduced in 2007
(6.0)
| Updated in 2010
(8.0)