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BUILT-IN MATHEMATICA SYMBOL
GammaDistribution
GammaDistribution[
, 
]
represents a gamma distribution with shape parameter and scale parameter .
GammaDistribution[, , 
, 
]
represents a generalized gamma distribution with shape parameters and , scale parameter , and location parameter .
Details
- The probability density for value
in a gamma distribution is proportional to 
for 
, and is zero for 
. » - The probability density for value
in a generalized gamma distribution is proportional to 
for 
, and is zero elsewhere. - GammaDistribution allows , , and to be any positive real numbers and to be any real number.
- GammaDistribution can be used with such functions as Mean, CDF, and RandomVariate. »
Examplesopen all
Basic Examples (8)
Probability density function of a gamma distribution:
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Cumulative distribution function of a gamma distribution:
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Mean and variance of a gamma distribution:
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Median of a gamma distribution:
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Probability density function of a generalized gamma distribution:
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Cumulative distribution function of a generalized gamma distribution:
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Mean and variance of a generalized gamma distribution:
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Median of a generalized gamma distribution:
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New in 6 | Last modified in 8
