/// <summary> /// Run example /// </summary> /// <a href="http://en.wikipedia.org/wiki/Categorical_distribution">Categorical distribution</a> public void Run() { // 1. Initialize the new instance of the Categorical distribution class with parameters P = (0.1, 0.2, 0.25, 0.45) var binomial = new Categorical(new[] { 0.1, 0.2, 0.25, 0.45 }); Console.WriteLine(@"1. Initialize the new instance of the Categorical distribution class with parameters P = (0.1, 0.2, 0.25, 0.45)"); Console.WriteLine(); // 2. Distributuion properties: Console.WriteLine(@"2. {0} distributuion properties:", binomial); // Cumulative distribution function Console.WriteLine(@"{0} - Сumulative distribution at location '3'", binomial.CumulativeDistribution(3).ToString(" #0.00000;-#0.00000")); // Probability density Console.WriteLine(@"{0} - Probability mass at location '3'", binomial.Probability(3).ToString(" #0.00000;-#0.00000")); // Log probability density Console.WriteLine(@"{0} - Log probability mass at location '3'", binomial.ProbabilityLn(3).ToString(" #0.00000;-#0.00000")); // Entropy Console.WriteLine(@"{0} - Entropy", binomial.Entropy.ToString(" #0.00000;-#0.00000")); // Largest element in the domain Console.WriteLine(@"{0} - Largest element in the domain", binomial.Maximum.ToString(" #0.00000;-#0.00000")); // Smallest element in the domain Console.WriteLine(@"{0} - Smallest element in the domain", binomial.Minimum.ToString(" #0.00000;-#0.00000")); // Mean Console.WriteLine(@"{0} - Mean", binomial.Mean.ToString(" #0.00000;-#0.00000")); // Median Console.WriteLine(@"{0} - Median", binomial.Median.ToString(" #0.00000;-#0.00000")); // Variance Console.WriteLine(@"{0} - Variance", binomial.Variance.ToString(" #0.00000;-#0.00000")); // Standard deviation Console.WriteLine(@"{0} - Standard deviation", binomial.StdDev.ToString(" #0.00000;-#0.00000")); // 3. Generate 10 samples of the Categorical distribution Console.WriteLine(@"3. Generate 10 samples of the Categorical distribution"); for (var i = 0; i < 10; i++) { Console.Write(binomial.Sample().ToString("N05") + @" "); } Console.WriteLine(); Console.WriteLine(); // 4. Generate 100000 samples of the Categorical(new []{ 0.1, 0.2, 0.25, 0.45 }) distribution and display histogram Console.WriteLine(@"4. Generate 100000 samples of the Categorical(0.1, 0.2, 0.25, 0.45) distribution and display histogram"); var data = new int[100000]; Categorical.Samples(data, new[] { 0.1, 0.2, 0.25, 0.45 }); ConsoleHelper.DisplayHistogram(data); Console.WriteLine(); // 5. Generate 100000 samples of the Categorical(new []{ 0.6, 0.2, 0.1, 0.1 }) distribution and display histogram Console.WriteLine(@"5. Generate 100000 samples of the Categorical(0.6, 0.2, 0.1, 0.1) distribution and display histogram"); Categorical.Samples(data, new[] { 0.6, 0.2, 0.1, 0.1 }); ConsoleHelper.DisplayHistogram(data); }