BUILT-IN MATHEMATICA SYMBOL

# HyperbolicDistribution

represents a hyperbolic distribution with location parameter , scale parameter , shape parameter , and skewness parameter .

HyperbolicDistribution[, , , , ]
represents a generalized hyperbolic distribution with shape parameter .

## DetailsDetails

• The probability density for value in a hyperbolic distribution is proportional to .
• The probability density for value in a generalized hyperbolic distribution is proportional to .
• HyperbolicDistribution allows and to be any positive real number, and any real number, and such that .
• HyperbolicDistribution can be used with such functions as Mean, CDF, and RandomVariate.

## ExamplesExamplesopen allclose all

### Basic Examples (6)Basic Examples (6)

Probability density function of a hyperbolic distribution:

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Cumulative distribution function of a hyperbolic distribution:

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Mean and variance of a hyperbolic distribution:

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Probability density function of a generalized hyperbolic distribution:

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Cumulative distribution function of a generalized hyperbolic distribution:

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Mean and variance of a generalized hyperbolic distribution:

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