public void ConstructorTest2()
{
var distribution = new NoncentralTDistribution(
degreesOfFreedom: 4, noncentrality: 2.42);
double mean = distribution.Mean; // 3.0330202123035104
double median = distribution.Median; // 2.6034842414893795
double var = distribution.Variance; // 4.5135883917583683
double cdf = distribution.DistributionFunction(x: 1.4); // 0.15955740661144721
double pdf = distribution.ProbabilityDensityFunction(x: 1.4); // 0.23552141805184526
double lpdf = distribution.LogProbabilityDensityFunction(x: 1.4); // -1.4459534225195116
double ccdf = distribution.ComplementaryDistributionFunction(x: 1.4); // 0.84044259338855276
double icdf = distribution.InverseDistributionFunction(p: cdf); // 1.4000000000123853
double hf = distribution.HazardFunction(x: 1.4); // 0.28023498559521387
double chf = distribution.CumulativeHazardFunction(x: 1.4); // 0.17382662901507062
string str = distribution.ToString(CultureInfo.InvariantCulture); // T(x; df = 4, μ = 2.42)
Assert.AreEqual(3.0330202123035104, mean);
Assert.AreEqual(2.6034842414893795, median);
Assert.AreEqual(4.5135883917583683, var);
Assert.AreEqual(0.17382662901507062, chf);
Assert.AreEqual(0.15955740661144721, cdf);
Assert.AreEqual(0.23552141805184526, pdf);
Assert.AreEqual(-1.4459534225195116, lpdf);
Assert.AreEqual(0.28023498559521387, hf);
Assert.AreEqual(0.84044259338855276, ccdf);
Assert.AreEqual(1.4000000000123853, icdf);
Assert.AreEqual("T(x; df = 4, μ = 2.42)", str);
}
public void ConstructorTest2()
{
var distribution = new NoncentralTDistribution(
degreesOfFreedom: 4, noncentrality: 2.42);
double mean = distribution.Mean; // 3.0330202123035104
double median = distribution.Median; // 2.6034842414893795
double var = distribution.Variance; // 4.5135883917583683
double mode = distribution.Mode; // 2.0940683409246641
double cdf = distribution.DistributionFunction(x: 1.4); // 0.15955740661144721
double pdf = distribution.ProbabilityDensityFunction(x: 1.4); // 0.23552141805184526
double lpdf = distribution.LogProbabilityDensityFunction(x: 1.4); // -1.4459534225195116
double ccdf = distribution.ComplementaryDistributionFunction(x: 1.4); // 0.84044259338855276
double icdf = distribution.InverseDistributionFunction(p: cdf); // 1.4000000000123853
double hf = distribution.HazardFunction(x: 1.4); // 0.28023498559521387
double chf = distribution.CumulativeHazardFunction(x: 1.4); // 0.17382662901507062
string str = distribution.ToString(CultureInfo.InvariantCulture); // T(x; df = 4, μ = 2.42)
Assert.AreEqual(3.0330202123035104, mean);
Assert.AreEqual(2.6034842414893795, median);
Assert.AreEqual(4.5135883917583683, var);
Assert.AreEqual(2.0940683409246641, mode);
Assert.AreEqual(0.17382662901507062, chf);
Assert.AreEqual(0.15955740661144721, cdf);
Assert.AreEqual(0.23552141805184526, pdf);
Assert.AreEqual(-1.4459534225195116, lpdf);
Assert.AreEqual(0.28023498559521387, hf);
Assert.AreEqual(0.84044259338855276, ccdf);
Assert.AreEqual(1.4000000000123853, icdf);
Assert.AreEqual("T(x; df = 4, μ = 2.42)", str);
var range1 = distribution.GetRange(0.95);
var range2 = distribution.GetRange(0.99);
var range3 = distribution.GetRange(0.01);
Assert.AreEqual(0.7641009341279591, range1.Min);
Assert.AreEqual(6.6668131011180742, range1.Max);
Assert.AreEqual(0.098229727233034247, range2.Min);
Assert.AreEqual(10.541194525031729, range2.Max);
Assert.AreEqual(0.09822972723303551, range3.Min);
Assert.AreEqual(10.541194525031729, range3.Max);
}
public void MedianTest()
{
NoncentralTDistribution target = new NoncentralTDistribution(3.2, 4.57);
Assert.AreEqual(target.Median, target.InverseDistributionFunction(0.5));
}