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BUILT-IN MATHEMATICA SYMBOL
InverseGammaDistribution
InverseGammaDistribution[
, 
]
represents an inverse gamma distribution with shape parameter and scale parameter .
InverseGammaDistribution[, , 
, 
]
represents a generalized inverse gamma distribution with shape parameters and , scale parameter , and location parameter .
Details
- The inverse gamma distribution InverseGammaDistribution[, ] is the distribution followed by the inverse of a GammaDistribution[, 1/] distributed random variable. »
- InverseGammaDistribution[, ] is equivalent to TransformedDistribution[1/x, x
GammaDistribution[, 1/]]. - InverseGammaDistribution[, , , ] is equivalent to TransformedDistribution[1/x, xGammaDistribution[, 1/, , ]].
- InverseGammaDistribution allows , , and to be any positive real numbers and to be any real number.
- InverseGammaDistribution can be used with such functions as Mean, CDF, and RandomVariate.
Examplesopen all
Basic Examples (8)
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Cumulative distribution function:
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Probability density function for the generalized inverse gamma distribution:
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Cumulative distribution function for the generalized inverse gamma distribution:
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Mean and variance of the generalized inverse gamma distribution:
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New in 7 | Last modified in 8
