Accord.Tests.Statistics.EmpiricalDistributionTest.EmpiricalDistributionConstructorTest3 C# (CSharp) Method

        public void EmpiricalDistributionConstructorTest3()
        {
            double[] samples = { 5, 5, 1, 4, 1, 2, 2, 3, 3, 3, 4, 3, 3, 3, 4, 3, 2, 3 };
            EmpiricalDistribution distribution = new EmpiricalDistribution(samples);

            double mean = distribution.Mean;     // 3
            double median = distribution.Median; // 2.9999993064186787
            double var = distribution.Variance;  // 1.2941176470588236
            double mode = distribution.Mode;     // 3

            double chf = distribution.CumulativeHazardFunction(x: 4.2); // 2.1972245773362191
            double cdf = distribution.DistributionFunction(x: 4.2); // 0.88888888888888884
            double pdf = distribution.ProbabilityDensityFunction(x: 4.2); // 0.181456280142802
            double lpdf = distribution.LogProbabilityDensityFunction(x: 4.2); // -1.7067405350495708
            double hf = distribution.HazardFunction(x: 4.2); // 1.6331065212852196
            double ccdf = distribution.ComplementaryDistributionFunction(x: 4.2); //0.11111111111111116
            double icdf = distribution.InverseDistributionFunction(p: cdf); // 4.1999999999999993
            double smoothing = distribution.Smoothing; // 0.67595864392399474

            string str = distribution.ToString(); // Fn(x; S)

            Assert.AreEqual(samples, distribution.Samples);
            Assert.AreEqual(0.67595864392399474, smoothing);
            Assert.AreEqual(3.0, mode);
            Assert.AreEqual(3.0, mean);
            Assert.AreEqual(2.9999993064186787, median);
            Assert.AreEqual(1.2941176470588236, var);
            Assert.AreEqual(2.1972245773362191, chf);
            Assert.AreEqual(0.88888888888888884, cdf);
            Assert.AreEqual(0.18145628014280227, pdf, 1e-15);
            Assert.AreEqual(-1.7067405350495708, lpdf);
            Assert.AreEqual(1.6331065212852196, hf, 1e-15);
            Assert.AreEqual(0.11111111111111116, ccdf);
            Assert.AreEqual(4.1999999999999993, icdf);
            Assert.AreEqual("Fn(x; S)", str);

            var range1 = distribution.GetRange(0.95);
            var range2 = distribution.GetRange(0.99);
            var range3 = distribution.GetRange(0.01);

            Assert.AreEqual(0.99999947547912593, range1.Min);
            Assert.AreEqual(5.0000002464240794, range1.Max);
            Assert.AreEqual(0.99999913215637204, range2.Min);
            Assert.AreEqual(5.0000004605903117, range2.Max);
            Assert.AreEqual(0.99999913215637204, range3.Min);
            Assert.AreEqual(5.0000004605903117, range3.Max);
        }