**'cern.jet.random.Gamma'**Java class

cern.jet.random

## Class Gamma

- All Implemented Interfaces:
- DoubleFunction, IntFunction, Serializable, Cloneable

public class Gammaextends AbstractContinousDistribution

Gamma distribution; math definition, definition of gamma function and animated definition.`p(x) = k * x^(alpha-1) * e^(-x/beta)`with`k = 1/(g(alpha) * b^a))`and`g(a)`being the gamma function.Valid parameter ranges:

`alpha > 0`.Note: For a Gamma distribution to have the mean

`mean`and variance`variance`, set the parameters as follows:alpha = mean*mean / variance; lambda = 1 / (variance / mean);

Instance methods operate on a user supplied uniform random number generator; they are unsynchronized.

- Static methods operate on a default uniform random number generator; they are synchronized.
**Implementation:**- Method: Acceptance Rejection combined with Acceptance Complement.
- High performance implementation. This is a port of RandGamma used in CLHEP 1.4.0 (C++). CLHEP's implementation, in turn, is based on
`gds.c`from the C-RAND / WIN-RAND library. C-RAND's implementation, in turn, is based uponJ.H. Ahrens, U. Dieter (1974): Computer methods for sampling from gamma, beta, Poisson and binomial distributions, Computing 12, 223-246.

and

J.H. Ahrens, U. Dieter (1982): Generating gamma variates by a modified rejection technique, Communications of the ACM 25, 47-54.

- See Also:
- Serialized Form

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