BUILT-IN MATHEMATICA SYMBOL

# InverseGaussianDistribution

represents an inverse Gaussian distribution with mean and scale parameter .

represents a generalized inverse Gaussian distribution with parameters , , and .

## DetailsDetails

• is also known as the inverse normal or Wald distribution.
• is also known as the Sichel distribution.
• The probability density for value in an inverse Gaussian distribution is proportional to for , and zero for . »
• The probability density for value in a generalized inverse Gaussian distribution is proportional to for , and zero for .
• InverseGaussianDistribution allows and to be any positive real numbers and to be any real number.
• InverseGaussianDistribution can be used with such functions as Mean, CDF, and RandomVariate. »

## ExamplesExamplesopen allclose all

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

Probability density function:

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Cumulative distribution function of an inverse Gaussian distribution:

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Probability density function of a generalized inverse Gaussian distribution:

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Cumulative distribution function of a generalized inverse Gaussian distribution:

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Mean:

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Mean of a generalized inverse Gaussian distribution:

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Variance:

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Variance of a generalized inverse Gaussian distribution:

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