public void ConstructorTest()
{
var log = new LognormalDistribution(location: 0.42, shape: 1.1);
double mean = log.Mean; // 2.7870954605658511
double median = log.Median; // 1.5219615583481305
double var = log.Variance; // 18.28163603621158
double cdf = log.DistributionFunction(x: 0.27); // 0.057961222885664958
double pdf = log.ProbabilityDensityFunction(x: 0.27); // 0.39035530085982068
double lpdf = log.LogProbabilityDensityFunction(x: 0.27); // -0.94069792674674835
double ccdf = log.ComplementaryDistributionFunction(x: 0.27); // 0.942038777114335
double icdf = log.InverseDistributionFunction(p: cdf); // 0.26999997937815973
double hf = log.HazardFunction(x: 0.27); // 0.41437285846720867
double chf = log.CumulativeHazardFunction(x: 0.27); // 0.059708840588116374
string str = log.ToString("N2", CultureInfo.InvariantCulture); // Lognormal(x; μ = 2.79, σ = 1.10)
Assert.AreEqual(2.7870954605658511, mean);
Assert.AreEqual(1.5219615583481305, median, 1e-7);
Assert.AreEqual(18.28163603621158, var);
Assert.AreEqual(0.059708840588116374, chf);
Assert.AreEqual(0.057961222885664958, cdf);
Assert.AreEqual(0.39035530085982068, pdf);
Assert.AreEqual(-0.94069792674674835, lpdf);
Assert.AreEqual(0.41437285846720867, hf);
Assert.AreEqual(0.942038777114335, ccdf);
Assert.AreEqual(0.26999997937815973, icdf, 1e-7);
Assert.AreEqual("Lognormal(x; μ = 2.79, σ = 1.10)", str);
}
public void ConstructorTest()
{
var log = new LognormalDistribution(location: 0.42, shape: 1.1);
double mean = log.Mean; // 2.7870954605658511
double median = log.Median; // 1.5219615583481305
double var = log.Variance; // 18.28163603621158
double cdf = log.DistributionFunction(x: 0.27); // 0.057961222885664958
double pdf = log.ProbabilityDensityFunction(x: 0.27); // 0.39035530085982068
double lpdf = log.LogProbabilityDensityFunction(x: 0.27); // -0.94069792674674835
double ccdf = log.ComplementaryDistributionFunction(x: 0.27); // 0.942038777114335
double icdf = log.InverseDistributionFunction(p: cdf); // 0.26999997937815973
double hf = log.HazardFunction(x: 0.27); // 0.41437285846720867
double chf = log.CumulativeHazardFunction(x: 0.27); // 0.059708840588116374
string str = log.ToString("N2", CultureInfo.InvariantCulture); // Lognormal(x; μ = 2.79, σ = 1.10)
Assert.AreEqual(2.7870954605658511, mean);
Assert.AreEqual(1.5219615583481305, median, 1e-7);
Assert.AreEqual(18.28163603621158, var);
Assert.AreEqual(0.059708840588116374, chf);
Assert.AreEqual(0.057961222885664958, cdf);
Assert.AreEqual(0.39035530085982068, pdf);
Assert.AreEqual(-0.94069792674674835, lpdf);
Assert.AreEqual(0.41437285846720867, hf);
Assert.AreEqual(0.942038777114335, ccdf);
Assert.AreEqual(0.26999997937815973, icdf, 1e-7);
Assert.AreEqual("Lognormal(x; μ = 2.79, σ = 1.10)", str);
}
public void ProbabilityDensityFunctionTest()
{
LognormalDistribution target = new LognormalDistribution(1.7, 4.2);
double x = 2.2;
double expected = 0.0421705870979553;
double actual = target.ProbabilityDensityFunction(x);
Assert.AreEqual(expected, actual, 1e-15);
}
public void ConstructorTest()
{
var log = new LognormalDistribution(location: 0.42, shape: 1.1);
double mean = log.Mean; // 2.7870954605658511
double median = log.Median; // 1.5219615583481305
double var = log.Variance; // 18.28163603621158
double mode = log.Mode; // 0.45384479528235572
double cdf = log.DistributionFunction(x: 0.27); // 0.057961222885664958
double pdf = log.ProbabilityDensityFunction(x: 0.27); // 0.39035530085982068
double lpdf = log.LogProbabilityDensityFunction(x: 0.27); // -0.94069792674674835
double ccdf = log.ComplementaryDistributionFunction(x: 0.27); // 0.942038777114335
double icdf = log.InverseDistributionFunction(p: cdf); // 0.26999997937815973
double hf = log.HazardFunction(x: 0.27); // 0.41437285846720867
double chf = log.CumulativeHazardFunction(x: 0.27); // 0.059708840588116374
string str = log.ToString("N2", CultureInfo.InvariantCulture); // Lognormal(x; μ = 2.79, σ = 1.10)
Assert.AreEqual(2.7870954605658511, mean);
Assert.AreEqual(1.5219615583481305, median, 1e-7);
Assert.AreEqual(0.45384479528235572, mode);
Assert.AreEqual(18.28163603621158, var);
Assert.AreEqual(0.059708840588116374, chf);
Assert.AreEqual(0.057961222885664958, cdf);
Assert.AreEqual(0.39035530085982068, pdf);
Assert.AreEqual(-0.94069792674674835, lpdf);
Assert.AreEqual(0.41437285846720867, hf);
Assert.AreEqual(0.942038777114335, ccdf);
Assert.AreEqual(0.26999997937815973, icdf, 1e-6);
Assert.AreEqual("Lognormal(x; μ = 2.79, σ = 1.10)", str);
var range1 = log.GetRange(0.95);
Assert.AreEqual(0.24923999017902393, range1.Min);
Assert.AreEqual(9.293720885640818, range1.Max);
var range2 = log.GetRange(0.99);
Assert.AreEqual(0.11777446636476178, range2.Min);
Assert.AreEqual(19.667797655030668, range2.Max);
var range3 = log.GetRange(0.01);
Assert.AreEqual(0.11777446636476173, range3.Min);
Assert.AreEqual(19.667797655030668, range3.Max);
Assert.AreEqual(0, log.Support.Min);
Assert.AreEqual(double.PositiveInfinity, log.Support.Max);
Assert.AreEqual(log.InverseDistributionFunction(0), log.Support.Min);
Assert.AreEqual(log.InverseDistributionFunction(1), log.Support.Max);
}
public double CalculateDensity(double latitude, double longitude)
{
double density = 0;
double d1 = DistanceTo.Satellite(latitude, longitude);
double d2 = DistanceTo.River(latitude, longitude);
double d3 = DistanceTo.Brandenburg(latitude, longitude);
if (d1 >= 0)
{
density += satelliteDistribution.ProbabilityDensityFunction(d1);
}
if (d2 >= 0)
{
density += riverDistribution.ProbabilityDensityFunction(d2);
}
density += brandenburgDistribution.ProbabilityDensityFunction(d3);
return(density);
}
public void ConstructorTest()
{
var log = new LognormalDistribution(location: 0.42, shape: 1.1);
double mean = log.Mean; // 2.7870954605658511
double median = log.Median; // 1.5219615583481305
double var = log.Variance; // 18.28163603621158
double mode = log.Mode; // 0.45384479528235572
double cdf = log.DistributionFunction(x: 0.27); // 0.057961222885664958
double pdf = log.ProbabilityDensityFunction(x: 0.27); // 0.39035530085982068
double lpdf = log.LogProbabilityDensityFunction(x: 0.27); // -0.94069792674674835
double ccdf = log.ComplementaryDistributionFunction(x: 0.27); // 0.942038777114335
double icdf = log.InverseDistributionFunction(p: cdf); // 0.26999997937815973
double hf = log.HazardFunction(x: 0.27); // 0.41437285846720867
double chf = log.CumulativeHazardFunction(x: 0.27); // 0.059708840588116374
string str = log.ToString("N2", CultureInfo.InvariantCulture); // Lognormal(x; μ = 2.79, σ = 1.10)
Assert.AreEqual(2.7870954605658511, mean);
Assert.AreEqual(1.5219615583481305, median, 1e-7);
Assert.AreEqual(0.45384479528235572, mode);
Assert.AreEqual(18.28163603621158, var);
Assert.AreEqual(0.059708840588116374, chf);
Assert.AreEqual(0.057961222885664958, cdf);
Assert.AreEqual(0.39035530085982068, pdf);
Assert.AreEqual(-0.94069792674674835, lpdf);
Assert.AreEqual(0.41437285846720867, hf);
Assert.AreEqual(0.942038777114335, ccdf);
Assert.AreEqual(0.26999997937815973, icdf, 1e-6);
Assert.AreEqual("Lognormal(x; μ = 2.79, σ = 1.10)", str);
var range1 = log.GetRange(0.95);
Assert.AreEqual(0.24923999017902393, range1.Min);
Assert.AreEqual(9.293720885640818, range1.Max);
var range2 = log.GetRange(0.99);
Assert.AreEqual(0.11777446636476178, range2.Min);
Assert.AreEqual(19.667797655030668, range2.Max);
var range3 = log.GetRange(0.01);
Assert.AreEqual(0.11777446636476173, range3.Min);
Assert.AreEqual(19.667797655030668, range3.Max);
}
public void ConstructorTest9()
{
var original = new LognormalDistribution(location: 0.42, shape: 1.1);
var log = GeneralContinuousDistribution.FromDistributionFunction(
original.Support, original.DistributionFunction);
for (double i = -10; i < +10; i += 0.1)
{
double expected = original.ProbabilityDensityFunction(i);
double actual = log.ProbabilityDensityFunction(i);
double diff = Math.Abs(expected - actual);
Assert.AreEqual(expected, actual, 1e-8);
}
testLognormal(log);
}
public void ProbabilityDensityFunctionTest()
{
LognormalDistribution target = new LognormalDistribution(1.7, 4.2);
double x = 2.2;
double expected = 0.0421705870979553;
double actual = target.ProbabilityDensityFunction(x);
Assert.AreEqual(expected, actual, 1e-15);
}
public void ConstructorTest9()
{
var original = new LognormalDistribution(location: 0.42, shape: 1.1);
var log = GeneralContinuousDistribution.FromDistributionFunction(
original.Support, original.DistributionFunction);
for (double i = -10; i < +10; i += 0.1)
{
double expected = original.ProbabilityDensityFunction(i);
double actual = log.ProbabilityDensityFunction(i);
Assert.IsTrue(expected.IsRelativelyEqual(actual, 1e-7));
Assert.AreEqual(expected, actual, 1e-8);
}
testLognormal(log);
}