public void CanSampleSequence() { var d = new NegativeBinomial(1.0, 0.5); var ied = d.Samples(); ied.Take(5).ToArray(); }
/// <summary> /// Run example /// </summary> /// <a href="http://en.wikipedia.org/wiki/Negative_binomial">NegativeBinomial distribution</a> public void Run() { // 1. Initialize the new instance of the NegativeBinomial distribution class with parameters P = 0.2, R = 20 var negativeBinomial = new NegativeBinomial(20, 0.2); Console.WriteLine(@"1. Initialize the new instance of the NegativeBinomial distribution class with parameters P = {0}, N = {1}", negativeBinomial.P, negativeBinomial.R); Console.WriteLine(); // 2. Distributuion properties: Console.WriteLine(@"2. {0} distributuion properties:", negativeBinomial); // Cumulative distribution function Console.WriteLine(@"{0} - Сumulative distribution at location '3'", negativeBinomial.CumulativeDistribution(3).ToString(" #0.00000;-#0.00000")); // Probability density Console.WriteLine(@"{0} - Probability mass at location '3'", negativeBinomial.Probability(3).ToString(" #0.00000;-#0.00000")); // Log probability density Console.WriteLine(@"{0} - Log probability mass at location '3'", negativeBinomial.ProbabilityLn(3).ToString(" #0.00000;-#0.00000")); // Largest element in the domain Console.WriteLine(@"{0} - Largest element in the domain", negativeBinomial.Maximum.ToString(" #0.00000;-#0.00000")); // Smallest element in the domain Console.WriteLine(@"{0} - Smallest element in the domain", negativeBinomial.Minimum.ToString(" #0.00000;-#0.00000")); // Mean Console.WriteLine(@"{0} - Mean", negativeBinomial.Mean.ToString(" #0.00000;-#0.00000")); // Mode Console.WriteLine(@"{0} - Mode", negativeBinomial.Mode.ToString(" #0.00000;-#0.00000")); // Variance Console.WriteLine(@"{0} - Variance", negativeBinomial.Variance.ToString(" #0.00000;-#0.00000")); // Standard deviation Console.WriteLine(@"{0} - Standard deviation", negativeBinomial.StdDev.ToString(" #0.00000;-#0.00000")); // Skewness Console.WriteLine(@"{0} - Skewness", negativeBinomial.Skewness.ToString(" #0.00000;-#0.00000")); Console.WriteLine(); // 3. Generate 10 samples of the NegativeBinomial distribution Console.WriteLine(@"3. Generate 10 samples of the NegativeBinomial distribution"); for (var i = 0; i < 10; i++) { Console.Write(negativeBinomial.Sample().ToString("N05") + @" "); } Console.WriteLine(); Console.WriteLine(); // 4. Generate 100000 samples of the NegativeBinomial(0.2, 20) distribution and display histogram Console.WriteLine(@"4. Generate 100000 samples of the NegativeBinomial(20, 0.2) distribution and display histogram"); var data = new int[100000]; NegativeBinomial.Samples(data, 20, 0.2); ConsoleHelper.DisplayHistogram(data); Console.WriteLine(); // 5. Generate 100000 samples of the NegativeBinomial(0.7, 20) distribution and display histogram Console.WriteLine(@"5. Generate 100000 samples of the NegativeBinomial(20, 0.7) distribution and display histogram"); NegativeBinomial.Samples(data, 20, 0.7); ConsoleHelper.DisplayHistogram(data); Console.WriteLine(); // 6. Generate 100000 samples of the NegativeBinomial(0.5, 1) distribution and display histogram Console.WriteLine(@"6. Generate 100000 samples of the NegativeBinomial(1, 0.5) distribution and display histogram"); NegativeBinomial.Samples(data, 1, 0.5); ConsoleHelper.DisplayHistogram(data); }