/// <summary>
/// Run example
/// </summary>
/// <a href="https://en.wikipedia.org/wiki/Triangular_distribution">Triangular distribution</a>
public void Run()
{
// 1. Initialize
var triangular = new Triangular(0, 1, 0.3);
Console.WriteLine(@"1. Initialize the new instance of the Triangular distribution class with parameters Lower = {0}, Upper = {1}, Mode = {2}", triangular.LowerBound, triangular.UpperBound, triangular.Mode);
Console.WriteLine();
// 2. Distributuion properties:
Console.WriteLine(@"2. {0} distributuion properties:", triangular);
// Cumulative distribution function
Console.WriteLine(@"{0} - Сumulative distribution at location '0.3'", triangular.CumulativeDistribution(0.3).ToString(" #0.00000;-#0.00000"));
// Probability density
Console.WriteLine(@"{0} - Probability density at location '0.3'", triangular.Density(0.3).ToString(" #0.00000;-#0.00000"));
// Log probability density
Console.WriteLine(@"{0} - Log probability density at location '0.3'", triangular.DensityLn(0.3).ToString(" #0.00000;-#0.00000"));
// Entropy
Console.WriteLine(@"{0} - Entropy", triangular.Entropy.ToString(" #0.00000;-#0.00000"));
// Largest element in the domain
Console.WriteLine(@"{0} - Largest element in the domain", triangular.Maximum.ToString(" #0.00000;-#0.00000"));
// Smallest element in the domain
Console.WriteLine(@"{0} - Smallest element in the domain", triangular.Minimum.ToString(" #0.00000;-#0.00000"));
// Mean
Console.WriteLine(@"{0} - Mean", triangular.Mean.ToString(" #0.00000;-#0.00000"));
// Median
Console.WriteLine(@"{0} - Median", triangular.Median.ToString(" #0.00000;-#0.00000"));
// Mode
Console.WriteLine(@"{0} - Mode", triangular.Mode.ToString(" #0.00000;-#0.00000"));
// Variance
Console.WriteLine(@"{0} - Variance", triangular.Variance.ToString(" #0.00000;-#0.00000"));
// Standard deviation
Console.WriteLine(@"{0} - Standard deviation", triangular.StdDev.ToString(" #0.00000;-#0.00000"));
// Skewness
Console.WriteLine(@"{0} - Skewness", triangular.Skewness.ToString(" #0.00000;-#0.00000"));
Console.WriteLine();
// 10 samples
Console.WriteLine(@"3. Generate 10 samples of the Triangular distribution");
for (var i = 0; i < 10; i++)
{
Console.Write(triangular.Sample().ToString("N05") + @" ");
}
Console.WriteLine();
Console.WriteLine();
// 10000 samples with starting parameters
Console.WriteLine(@"4. Generate 100000 samples of the Triangular({0}, {1}, {2}) distribution and display histogram", triangular.LowerBound, triangular.UpperBound, triangular.Mode);
var data = new double[100000];
for (var i = 0; i < data.Length; i++)
{
data[i] = triangular.Sample();
}
ConsoleHelper.DisplayHistogram(data);
Console.WriteLine();
// 10000 with different parameters
triangular.UpperBound = 10;
triangular.Mode = 8;
triangular.LowerBound = 2;
Console.WriteLine(@"4. Generate 100000 samples of the Triangular({0}, {1}, {2}) distribution and display histogram", triangular.LowerBound, triangular.UpperBound, triangular.Mode);
for (var i = 0; i < data.Length; i++)
{
data[i] = triangular.Sample();
}
ConsoleHelper.DisplayHistogram(data);
}