/// <summary>
        /// Run example
        /// </summary>
        /// <a href="http://en.wikipedia.org/wiki/Poisson_distribution">Poisson distribution</a>
        public void Run()
        {
            // 1. Initialize the new instance of the Poisson distribution class with parameter Lambda = 1
            var poisson = new Poisson(1);
            Console.WriteLine(@"1. Initialize the new instance of the Poisson distribution class with parameter Lambda = {0}", poisson.Lambda);
            Console.WriteLine();

            // 2. Distributuion properties:
            Console.WriteLine(@"2. {0} distributuion properties:", poisson);

            // Cumulative distribution function
            Console.WriteLine(@"{0} - Сumulative distribution at location '3'", poisson.CumulativeDistribution(3).ToString(" #0.00000;-#0.00000"));

            // Probability density
            Console.WriteLine(@"{0} - Probability mass at location '3'", poisson.Probability(3).ToString(" #0.00000;-#0.00000"));

            // Log probability density
            Console.WriteLine(@"{0} - Log probability mass at location '3'", poisson.ProbabilityLn(3).ToString(" #0.00000;-#0.00000"));

            // Entropy
            Console.WriteLine(@"{0} - Entropy", poisson.Entropy.ToString(" #0.00000;-#0.00000"));

            // Largest element in the domain
            Console.WriteLine(@"{0} - Largest element in the domain", poisson.Maximum.ToString(" #0.00000;-#0.00000"));

            // Smallest element in the domain
            Console.WriteLine(@"{0} - Smallest element in the domain", poisson.Minimum.ToString(" #0.00000;-#0.00000"));

            // Mean
            Console.WriteLine(@"{0} - Mean", poisson.Mean.ToString(" #0.00000;-#0.00000"));
            
            // Median
            Console.WriteLine(@"{0} - Median", poisson.Median.ToString(" #0.00000;-#0.00000"));
            
            // Mode
            Console.WriteLine(@"{0} - Mode", poisson.Mode.ToString(" #0.00000;-#0.00000"));

            // Variance
            Console.WriteLine(@"{0} - Variance", poisson.Variance.ToString(" #0.00000;-#0.00000"));

            // Standard deviation
            Console.WriteLine(@"{0} - Standard deviation", poisson.StdDev.ToString(" #0.00000;-#0.00000"));

            // Skewness
            Console.WriteLine(@"{0} - Skewness", poisson.Skewness.ToString(" #0.00000;-#0.00000"));
            Console.WriteLine();

            // 3. Generate 10 samples of the Poisson distribution
            Console.WriteLine(@"3. Generate 10 samples of the Poisson distribution");
            for (var i = 0; i < 10; i++)
            {
                Console.Write(poisson.Sample().ToString("N05") + @" ");
            }

            Console.WriteLine();
            Console.WriteLine();

            // 4. Generate 100000 samples of the Poisson(1) distribution and display histogram
            Console.WriteLine(@"4. Generate 100000 samples of the Poisson(1) distribution and display histogram");
            var data = new double[100000];
            for (var i = 0; i < data.Length; i++)
            {
                data[i] = poisson.Sample();
            }

            ConsoleHelper.DisplayHistogram(data);
            Console.WriteLine();

            // 5. Generate 100000 samples of the Poisson(4) distribution and display histogram
            Console.WriteLine(@"5. Generate 100000 samples of the Poisson(4) distribution and display histogram");
            poisson.Lambda = 4;
            for (var i = 0; i < data.Length; i++)
            {
                data[i] = poisson.Sample();
            }

            ConsoleHelper.DisplayHistogram(data);
            Console.WriteLine();

            // 6. Generate 100000 samples of the Poisson(10) distribution and display histogram
            Console.WriteLine(@"6. Generate 100000 samples of the Poisson(10) distribution and display histogram");
            poisson.Lambda = 10;
            for (var i = 0; i < data.Length; i++)
            {
                data[i] = poisson.Sample();
            }

            ConsoleHelper.DisplayHistogram(data);
        }
Exemplo n.º 2
0
 public void ValidateProbabilityLn(double lambda, int x, double result)
 {
     var d = new Poisson(lambda);
     Assert.AreEqual(d.ProbabilityLn(x), Math.Log(result), 1e-12);
 }