Example #1
0
        public void EmpiricalDistributionConstructorTest5()
        {
            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, FaultySmoothingRule(samples));


            double mean      = distribution.Mean;                                      // 3
            double median    = distribution.Median;                                    // 2.9999993064186787
            double var       = distribution.Variance;                                  // 1.2941176470588236
            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);        // 0.15552784414141974
            double lpdf      = distribution.LogProbabilityDensityFunction(x: 4.2);     // -1.8609305013898356
            double hf        = distribution.HazardFunction(x: 4.2);                    // 1.3997505972727771
            double ccdf      = distribution.ComplementaryDistributionFunction(x: 4.2); //0.11111111111111116
            double icdf      = distribution.InverseDistributionFunction(p: cdf);       // 4.1999999999999993
            double smoothing = distribution.Smoothing;                                 // 1.9144923416414432

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

            Assert.AreEqual(samples, distribution.Samples);
            Assert.AreEqual(1.9144923416414432, smoothing, 1.0e-15);
            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(0.15552784414141974, pdf, 1e-15);
            Assert.AreEqual(-1.8609305013898356, lpdf);
            Assert.AreEqual(1.3997505972727771, hf, 1e-15);
            Assert.AreEqual(0.11111111111111116, ccdf);
            Assert.AreEqual(4.1999999999999993, icdf);
            Assert.AreEqual("Fn(x; S)", str);
        }
        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 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, 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);
            Assert.AreEqual(-1.7067405350495708, lpdf);
            Assert.AreEqual(1.6331065212852196, hf);
            Assert.AreEqual(0.11111111111111116, ccdf);
            Assert.AreEqual(4.1999999999999993, icdf);
            Assert.AreEqual("Fn(x; S)", str);
        }