GammaDistribution

GammaDistribution[ , ] gives the gamma distribution with shape parameter and scale parameter .

When and , the gamma distribution GammaDistribution[ , ] describes the distribution of a sum of squares of unit normal random variables. This form of the gamma distribution is called a chi-square distribution with degrees of freedom. When , the gamma distribution takes on the form of the exponential distribution ExponentialDistribution[], often used in describing the waiting time between events.

See also: Mean, StandardDeviation, Variance, CDF, PDF.

Examples

Using InstantCalculators

Here are the InstantCalculators for the GammaDistribution function. Enter the parameters for your calculation and click Calculate to see the result.

This generates a set of random numbers that follow the gamma distribution.

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This gives the probability density function for the gamma distribution.

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This gives the cumulative distribution function for the gamma distribution.

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Entering Commands Directly

You can paste a template for this command via the Text Input button on the GammaDistribution Function Controller.

This generates a set of random numbers that follow the gamma distribution.

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This gives the probability density function for the gamma distribution.

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This gives the cumulative distribution function for the gamma distribution.

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