Examples of cern.jet.random.ChiSquare

cern.jet.random.ChiSquare
ern.ch/RD11/rkb/AN16pp/node31.html#SECTION000310000000000000000"> math definition and animated definition.
A special case of the Gamma distribution.
p(x) = (1/g(f/2)) * (x/2)^(f/2-1) * exp(-x/2) with g(a) being the gamma function and f being the degrees of freedom.
Valid parameter ranges: freedom > 0.
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: Ratio of Uniforms with shift.
High performance implementation. This is a port of RandChiSquare used in CLHEP 1.4.0 (C++). CLHEP's implementation, in turn, is based on chru.c from the C-RAND / WIN-RAND library. C-RAND's implementation, in turn, is based upon
J.F. Monahan (1987): An algorithm for generating chi random variables, ACM Trans. Math. Software 13, 168-172. @author wolfgang.hoschek@cern.ch @version 1.0, 09/24/99

                               + num.format(chiSq(ids.count(id), expected)) + "\t"
                               + prct.format((ids.count(id) - expected) / expected));
            chiSq += chiSq(ids.count(id), expected);
        }
        System.out.println("X^2 = " + chiSq);
        ChiSquare dist = new ChiSquare(df, new MersenneTwister());
        // p-value is ~= prob of seeing this distribution from fair router
        double pValue = 1.0 - dist.cdf(chiSq);
        System.out.println("p-value = " + pValue);
        assertTrue("Non-uniform load distribution detected.", pValue >= 0.05);
    }

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    }


    private double[] generateBootstrapSamples() {
        RandomEngine u = new MersenneTwister();
        Normal normal = new Normal(0, 1, u);
        ChiSquare chisquare = new ChiSquare(numSamples-1, u);
        int bootstrapSize = Settings.getInt("logCI.bootstrapSize", 2000);
        double[] samples = new double[bootstrapSize];
        for (int i = bootstrapSize;   i-- > 0; )
             samples[i] = generateBootstrapSample(normal, chisquare, numSamples,
                logstd);

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    ////                         protected methods                 ////


    /** Method that is called after _randomNumberGenerator is changed.
     */
    protected void _createdNewRandomNumberGenerator() {
        _generator = new ChiSquare(1.0, _randomNumberGenerator);
    }

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   * @param engine A uniform random number generator, not null
   */
  public ChiSquareDistribution(final double degrees, final RandomEngine engine) {
    Validate.isTrue(degrees >= 1, "Degrees of freedom must be greater than or equal to one");
    Validate.notNull(engine);
    _chiSquare = new ChiSquare(degrees, engine);
    _degrees = degrees;
  }

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