private static void negative_binomial_cdf_test()
//****************************************************************************80
//
// Purpose:
//
// NEGATIVE_BINOMIAL_CDF_TEST tests NEGATIVE_BINOMIAL_CDF.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 03 April 2016
//
// Author:
//
// John Burkardt
//
{
int i;
int seed = 123456789;
Console.WriteLine("");
Console.WriteLine("NEGATIVE_BINOMIAL_CDF_TEST");
Console.WriteLine(" NEGATIVE_BINOMIAL_CDF evaluates the Negative Binomial CDF;");
Console.WriteLine(" NEGATIVE_BINOMIAL_CDF_INV inverts the Negative Binomial CDF.");
Console.WriteLine(" NEGATIVE_BINOMIAL_PDF evaluates the Negative Binomial PDF;");
const int a = 2;
const double b = 0.25;
Console.WriteLine("");
Console.WriteLine(" PDF parameter A = " + a + "");
Console.WriteLine(" PDF parameter B = " + b + "");
if (!NegativeBinomial.negative_binomial_check(a, b))
{
Console.WriteLine("");
Console.WriteLine("NEGATIVE_BINOMIAL_CDF_TEST - Fatal error!");
Console.WriteLine(" The parameters are not legal.");
return;
}
Console.WriteLine("");
Console.WriteLine(" X PDF CDF CDF_INV");
Console.WriteLine("");
for (i = 1; i <= 10; i++)
{
int x = NegativeBinomial.negative_binomial_sample(a, b, ref seed);
double pdf = NegativeBinomial.negative_binomial_pdf(x, a, b);
double cdf = NegativeBinomial.negative_binomial_cdf(x, a, b);
int x2 = NegativeBinomial.negative_binomial_cdf_inv(cdf, a, b);
Console.WriteLine(" "
+ x.ToString(CultureInfo.InvariantCulture).PadLeft(12) + " "
+ pdf.ToString(CultureInfo.InvariantCulture).PadLeft(12) + " "
+ cdf.ToString(CultureInfo.InvariantCulture).PadLeft(12) + " "
+ x2.ToString(CultureInfo.InvariantCulture).PadLeft(12) + "");
}
}
private static void negative_binomial_sample_test()
//****************************************************************************80
//
// Purpose:
//
// NEGATIVE_BINOMIAL_SAMPLE_TEST tests NEGATIVE_BINOMIAL_SAMPLE.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 03 April 2016
//
// Author:
//
// John Burkardt
//
{
const int SAMPLE_NUM = 1000;
int i;
int seed = 123456789;
int[] x = new int[SAMPLE_NUM];
Console.WriteLine("");
Console.WriteLine("NEGATIVE_BINOMIAL_SAMPLE_TEST");
Console.WriteLine(" NEGATIVE_BINOMIAL_MEAN computes the Negative Binomial mean;");
Console.WriteLine(" NEGATIVE_BINOMIAL_SAMPLE samples the Negative Binomial distribution;");
Console.WriteLine(" NEGATIVE_BINOMIAL_VARIANCE computes the Negative Binomial variance;");
const int a = 2;
const double b = 0.75;
Console.WriteLine("");
Console.WriteLine(" PDF parameter A = " + a + "");
Console.WriteLine(" PDF parameter B = " + b + "");
if (!NegativeBinomial.negative_binomial_check(a, b))
{
Console.WriteLine("");
Console.WriteLine("NEGATIVE_BINOMIAL_SAMPLE_TEST - Fatal error!");
Console.WriteLine(" The parameters are not legal.");
return;
}
double mean = NegativeBinomial.negative_binomial_mean(a, b);
double variance = NegativeBinomial.negative_binomial_variance(a, b);
Console.WriteLine("");
Console.WriteLine(" PDF mean = " + mean + "");
Console.WriteLine(" PDF variance = " + variance + "");
for (i = 0; i < SAMPLE_NUM; i++)
{
x[i] = NegativeBinomial.negative_binomial_sample(a, b, ref seed);
}
mean = typeMethods.i4vec_mean(SAMPLE_NUM, x);
variance = typeMethods.i4vec_variance(SAMPLE_NUM, x);
int xmax = typeMethods.i4vec_max(SAMPLE_NUM, x);
int xmin = typeMethods.i4vec_min(SAMPLE_NUM, x);
Console.WriteLine("");
Console.WriteLine(" Sample size = " + SAMPLE_NUM + "");
Console.WriteLine(" Sample mean = " + mean + "");
Console.WriteLine(" Sample variance = " + variance + "");
Console.WriteLine(" Sample maximum = " + xmax + "");
Console.WriteLine(" Sample minimum = " + xmin + "");
}