TukeyLambdaDistribution

TukeyLambdaDistribution[]
represents Tukey's lambda distribution with shape parameter .

TukeyLambdaDistribution[, , ]
represents Tukey's lambda distribution with location parameter and scale parameter .

TukeyLambdaDistribution[{1, 2}, , {1, 2}]
represents the generalized Tukey's lambda distribution with location parameter , scale parameters and , and shape parameters and .

DetailsDetails

ExamplesExamplesopen allclose all

Basic Examples (15)Basic Examples (15)

Quantile function for symmetric case:

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Quantile function with location and scale parameters:

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Quantile function for generalized Tukey's lambda distribution:

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Probability density function does not have closed form but can be found numerically:

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Cumulative distribution function does not have closed form but can be found numerically:

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Mean and variance have closed forms:

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Median:

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Probability density function with location and scale:

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Cumulative distribution function with location and scale:

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Mean and variance with location and scale:

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Median with location and scale:

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Probability density function of generalized Tukey lambda distribution:

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Cumulative distribution function of generalized Tukey lambda distribution:

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Mean and variance of generalized Tukey lambda distribution:

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Median of generalized Tukey lambda distribution:

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