public void ConstructorTest()
{
var vonMises = new VonMisesDistribution(mean: 0.42, concentration: 1.2);
double mean = vonMises.Mean; // 0.42
double median = vonMises.Median; // 0.42
double var = vonMises.Variance; // 0.48721760532782921
double cdf = vonMises.DistributionFunction(x: 1.4); // 0.81326928491589345
double pdf = vonMises.ProbabilityDensityFunction(x: 1.4); // 0.2228112141141676
double lpdf = vonMises.LogProbabilityDensityFunction(x: 1.4); // -1.5014304395467863
double ccdf = vonMises.ComplementaryDistributionFunction(x: 1.4); // 0.18673071508410655
double icdf = vonMises.InverseDistributionFunction(p: cdf); // 1.3999999637927665
double hf = vonMises.HazardFunction(x: 1.4); // 1.1932220899695576
double chf = vonMises.CumulativeHazardFunction(x: 1.4); // 1.6780877262500649
string str = vonMises.ToString(CultureInfo.InvariantCulture); // VonMises(x; μ = 0.42, κ = 1.2)
double imedian = vonMises.InverseDistributionFunction(p: 0.5);
Assert.AreEqual(0.42, mean);
Assert.AreEqual(0.42, median);
Assert.AreEqual(0.42000000260613551, imedian, 1e-8);
Assert.AreEqual(0.48721760532782921, var);
Assert.AreEqual(1.6780877262500649, chf);
Assert.AreEqual(0.81326928491589345, cdf);
Assert.AreEqual(0.2228112141141676, pdf);
Assert.AreEqual(-1.5014304395467863, lpdf);
Assert.AreEqual(1.1932220899695576, hf);
Assert.AreEqual(0.18673071508410655, ccdf);
Assert.AreEqual(1.39999999999, icdf, 1e-8);
Assert.AreEqual("VonMises(x; μ = 0.42, κ = 1.2)", str);
}
public void LogProbabilityDensityFunctionTest()
{
VonMisesDistribution dist = new VonMisesDistribution(2.249981, 2.411822);
double x = 2.14;
double actual = dist.LogProbabilityDensityFunction(x);
double expected = System.Math.Log(dist.ProbabilityDensityFunction(x));
Assert.AreEqual(expected, actual, 1e-10);
}
public void ConstructorTest()
{
var vonMises = new VonMisesDistribution(mean: 0.42, concentration: 1.2);
double mean = vonMises.Mean; // 0.42
double median = vonMises.Median; // 0.42
double var = vonMises.Variance; // 0.48721760532782921
double mode = vonMises.Mode; // 0.42
double cdf = vonMises.DistributionFunction(x: 1.4); // 0.81326928491589345
double pdf = vonMises.ProbabilityDensityFunction(x: 1.4); // 0.2228112141141676
double lpdf = vonMises.LogProbabilityDensityFunction(x: 1.4); // -1.5014304395467863
double ccdf = vonMises.ComplementaryDistributionFunction(x: 1.4); // 0.18673071508410655
double icdf = vonMises.InverseDistributionFunction(p: cdf); // 1.3999999637927665
double hf = vonMises.HazardFunction(x: 1.4); // 1.1932220899695576
double chf = vonMises.CumulativeHazardFunction(x: 1.4); // 1.6780877262500649
string str = vonMises.ToString(CultureInfo.InvariantCulture); // VonMises(x; μ = 0.42, κ = 1.2)
double imedian = vonMises.InverseDistributionFunction(p: 0.5);
Assert.AreEqual(0.42, mean);
Assert.AreEqual(0.42, median);
Assert.AreEqual(0.42, mode);
Assert.AreEqual(0.42000000260613551, imedian, 1e-8);
Assert.AreEqual(0.48721760532782921, var);
Assert.AreEqual(1.6780877262500649, chf);
Assert.AreEqual(0.81326928491589345, cdf);
Assert.AreEqual(0.2228112141141676, pdf);
Assert.AreEqual(-1.5014304395467863, lpdf);
Assert.AreEqual(1.1932220899695576, hf);
Assert.AreEqual(0.18673071508410655, ccdf);
Assert.AreEqual(1.39999999999, icdf, 1e-8);
Assert.AreEqual("VonMises(x; μ = 0.42, κ = 1.2)", str);
var range1 = vonMises.GetRange(0.95);
var range2 = vonMises.GetRange(0.99);
var range3 = vonMises.GetRange(0.01);
Assert.AreEqual(-1.5990672124935188, range1.Min, 1e-14);
Assert.AreEqual(2.4390672124935207, range1.Max, 1e-14);
Assert.AreEqual(-2.4355782410688764, range2.Min, 1e-14);
Assert.AreEqual(3.2755782410688861, range2.Max, 1e-14);
Assert.AreEqual(-2.4355782410688764, range3.Min, 1e-14);
Assert.AreEqual(3.2755782410688861, range3.Max, 1e-14);
Assert.AreEqual(-2.7215926535897932, vonMises.Support.Min, 1e-10);
Assert.AreEqual(3.561592653589793, vonMises.Support.Max, 1e-10);
Assert.AreEqual(vonMises.InverseDistributionFunction(0), vonMises.Support.Min);
Assert.AreEqual(vonMises.InverseDistributionFunction(1), vonMises.Support.Max);
}