Accord.Tests.Statistics.SkewNormalDistributionTest.ConstructorTest2 C# (CSharp) Method

        public void ConstructorTest2()
        {
            var normal = SkewNormalDistribution.Normal(mean: 4, stdDev: 4.2);

            double mean = normal.Mean;     // 4.0
            double median = normal.Median; // 4.0
            double var = normal.Variance;  // 17.64
            double mode = normal.Mode;     // 4.0

            double cdf = normal.DistributionFunction(x: 1.4); // 0.26794249453351904
            double pdf = normal.ProbabilityDensityFunction(x: 1.4); // 0.078423391448155175
            double lpdf = normal.LogProbabilityDensityFunction(x: 1.4); // -2.5456330358182586

            double ccdf = normal.ComplementaryDistributionFunction(x: 1.4); // 0.732057505466481
            double icdf = normal.InverseDistributionFunction(p: cdf); // 1.4

            double hf = normal.HazardFunction(x: 1.4); // 0.10712736480747137
            double chf = normal.CumulativeHazardFunction(x: 1.4); // 0.31189620872601354

            string str = normal.ToString(CultureInfo.InvariantCulture); // Sn(x; ξ = 4, ω = 4.2, α = 0)

            Assert.AreEqual(4.0, mean);
            Assert.AreEqual(4.0, median, 1e-5);
            Assert.AreEqual(17.64, var);
            Assert.AreEqual(4, mode, 1e-6);
            Assert.AreEqual(0.31189620872601354, chf);
            Assert.AreEqual(0.26794249453351904, cdf);
            Assert.AreEqual(0.078423391448155175, pdf, 1e-8);
            Assert.AreEqual(-2.5456330358182586, lpdf, 1e-8);
            Assert.AreEqual(0.10712736480747137, hf, 1e-8);
            Assert.AreEqual(0.732057505466481, ccdf, 1e-8);
            Assert.AreEqual(1.4, icdf, 1e-8);
            Assert.AreEqual("Sn(x; ξ = 4, ω = 4.2, α = 0)", str);
        }