Accord.Statistics.Distributions.Univariate.UnivariateContinuousDistribution.DistributionFunction C# (CSharp) Method

DistributionFunction() public abstract method

Gets the cumulative distribution function (cdf) for the this distribution evaluated at point x.
The Cumulative Distribution Function (CDF) describes the cumulative probability that a given value or any value smaller than it will occur.
public abstract DistributionFunction ( double x ) : double
x double /// A single point in the distribution range.
return double
        public abstract double DistributionFunction(double x);

Usage Example

        private static void compare(TukeyLambdaDistribution target, 
            UnivariateContinuousDistribution comparison, double tol)
        {
            Assert.AreEqual(comparison.Mean, target.Mean);
            Assert.AreEqual(comparison.Variance, target.Variance, tol);
            Assert.AreEqual(comparison.Entropy, target.Entropy, 1e-4);
            Assert.AreEqual(comparison.StandardDeviation, target.StandardDeviation, tol);
            Assert.AreEqual(comparison.Mode, target.Mode);
            Assert.AreEqual(comparison.Median, target.Median);

            for (double x = -10; x < 10; x += 0.0001)
            {
                double actual = target.ProbabilityDensityFunction(x);
                double expected = comparison.ProbabilityDensityFunction(x);
                Assert.AreEqual(expected, actual, tol);
                Assert.IsFalse(Double.IsNaN(actual));
            }

            for (double x = -10; x < 10; x += 0.0001)
            {
                double actual = target.DistributionFunction(x);
                double expected = comparison.DistributionFunction(x);
                Assert.AreEqual(expected, actual, tol);
                Assert.IsFalse(Double.IsNaN(actual));
            }

            for (double x = -10; x < 10; x += 0.0001)
            {
                double actual = target.LogProbabilityDensityFunction(x);
                double expected = comparison.LogProbabilityDensityFunction(x);
                Assert.AreEqual(expected, actual, tol);
                Assert.IsFalse(Double.IsNaN(actual));
            }
        }