Mathematica > Data Manipulation > Statistical Data Analysis > Probability & Statistics > Random Variables > Parametric Statistical Distributions > Extreme Value Distributions > WeibullDistribution
Mathematica > Data Manipulation > Statistical Data Analysis > Probability & Statistics > Survival Analysis > Parametric Statistical Distributions > Extreme Value Distributions > WeibullDistribution
Mathematica > Mathematics and Algorithms > Statistical Data Analysis > Probability & Statistics > Random Variables > Parametric Statistical Distributions > Extreme Value Distributions > WeibullDistribution
BUILT-IN MATHEMATICA SYMBOL

WeibullDistribution

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

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

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 and to be any positive real numbers and 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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Scope (7)Scope (7)

Applications (8)Applications (8)

Properties & Relations (20)Properties & Relations (20)

Possible Issues (3)Possible Issues (3)

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