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GammaDistribution

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

• When  and  , the gamma distribution GammaDistribution[Alpha, Beta] 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[Beta], 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.

This gives the probability density function for the gamma distribution.

This gives the cumulative distribution function for the gamma distribution.

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.

This gives the probability density function for the gamma distribution.

This gives the cumulative distribution function for the gamma distribution.



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