This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
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# WakebyDistribution

 WakebyDistribution represents Wakeby distribution with shape parameters and , scale parameters and , and location parameter .
• The quantile function for value in a Wakeby distribution is equal to .
• WakebyDistribution allows , , , and to be any positive real numbers and to be any real number.
Quantile function:
Probability density function:
Cumulative distribution function:
Mean and variance:
Median:
Quantile function:
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Probability density function:
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Cumulative distribution function:
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Mean and variance:
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Median:
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 Scope   (6)
Generate a set of pseudorandom numbers that are Wakeby distributed:
Compare its histogram to the PDF:
Distribution parameters estimation:
Estimate the distribution parameters from sample data:
Compare the density histogram of the sample with the PDF of the estimated distribution:
Skewness exists for :
Kurtosis exists for :
Different moments of a Wakeby distribution with closed forms as functions of parameters:
Hazard function:
 Applications   (1)
The logarithm of a normalized volume of streamflows is described by WakebyDistribution:
Plot the distribution density function:
Find the probability that the volume of the flow will exceed 10 reference units:
Find the expected volume in reference units, given that it exceeds 10 reference units:
Parameter influence on the CDF for each :
Wakeby distribution is closed under translation and scaling by a positive factor:
New in 8