public void ConstructorTest3()
{
Accord.Math.Tools.SetupGenerator(0);
// Create a normal distribution with mean 2 and sigma 3
var normal = new NormalDistribution(mean: 2, stdDev: 3);
// In a normal distribution, the median and
// the mode coincide with the mean, so
double mean = normal.Mean; // 2
double mode = normal.Mode; // 2
double median = normal.Median; // 2
// The variance is the square of the standard deviation
double variance = normal.Variance; // 3² = 9
// Let's check what is the cumulative probability of
// a value less than 3 occurring in this distribution:
double cdf = normal.DistributionFunction(3); // 0.63055
// Finally, let's generate 1000 samples from this distribution
// and check if they have the specified mean and standard dev.
double[] samples = normal.Generate(10000);
double sampleMean = samples.Mean(); // 2.00
double sampleDev = samples.StandardDeviation(); // 3.00
Assert.AreEqual(2, mean);
Assert.AreEqual(2, mode);
Assert.AreEqual(2, median);
Assert.AreEqual(9, variance);
Assert.AreEqual(10000, samples.Length);
Assert.AreEqual(2.000, sampleMean, 5e-3);
Assert.AreEqual(3.000, sampleDev, 5e-3);
}
