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

DistributionFunction() public method

Gets the cumulative distribution function (cdf) for this distribution evaluated at point x.
public DistributionFunction ( double x ) : double
x double A single point in the distribution range.
return double
        public override double DistributionFunction(double x)
        {
            double z = (x - mu) / s;

            return 1.0 / (1 + Math.Exp(-z));
        }

Usage Example

        public void ConstructorTest1()
        {
            var log = new LogisticDistribution(location: 0.42, scale: 1.2);

            double mean = log.Mean;     // 0.42
            double median = log.Median; // 0.42
            double mode = log.Mode;     // 0.42
            double var = log.Variance;  // 4.737410112522892

            double cdf = log.DistributionFunction(x: 1.4); // 0.693528308197921
            double pdf = log.ProbabilityDensityFunction(x: 1.4); // 0.17712232827170876
            double lpdf = log.LogProbabilityDensityFunction(x: 1.4); // -1.7309146649427332

            double ccdf = log.ComplementaryDistributionFunction(x: 1.4); // 0.306471691802079
            double icdf = log.InverseDistributionFunction(p: cdf); // 1.3999999999999997

            double hf = log.HazardFunction(x: 1.4); // 0.57794025683160088
            double chf = log.CumulativeHazardFunction(x: 1.4); // 1.1826298874077226

            string str = log.ToString(CultureInfo.InvariantCulture); // Logistic(x; μ = 0.42, scale = 1.2)

            Assert.AreEqual(0.41999999999999998, mean);
            Assert.AreEqual(0.41999999999999998, median);
            Assert.AreEqual(4.737410112522892, var);
            Assert.AreEqual(1.1826298874077226, chf);
            Assert.AreEqual(0.693528308197921, cdf);
            Assert.AreEqual(0.17712232827170876, pdf);
            Assert.AreEqual(-1.7309146649427332, lpdf);
            Assert.AreEqual(0.57794025683160088, hf);
            Assert.AreEqual(0.306471691802079, ccdf);
            Assert.AreEqual(1.3999999999999997, icdf);
            Assert.AreEqual("Logistic(x; μ = 0.42, scale = 1.2)", str);
        }
All Usage Examples Of Accord.Statistics.Distributions.Univariate.LogisticDistribution::DistributionFunction