private static void empirical_discrete_cdf_test()
//****************************************************************************80
//
// Purpose:
//
// EMPIRICAL_DISCRETE_CDF_TEST tests EMPIRICAL_DISCRETE_CDF.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 24 January 2007
//
// Author:
//
// John Burkardt
//
{
const int A = 6;
double[] b =
{
1.0, 1.0, 3.0, 2.0, 1.0, 2.0
}
;
double[] c =
{
0.0, 1.0, 2.0, 4.5, 6.0, 10.0
}
;
int i;
int seed = 123456789;
Console.WriteLine("");
Console.WriteLine("EMPIRICAL_DISCRETE_CDF_TEST");
Console.WriteLine(" EMPIRICAL_DISCRETE_CDF evaluates the Empirical Discrete CDF;");
Console.WriteLine(" EMPIRICAL_DISCRETE_CDF_INV inverts the Empirical Discrete CDF.");
Console.WriteLine(" EMPIRICAL_DISCRETE_PDF evaluates the Empirical Discrete PDF;");
Console.WriteLine("");
Console.WriteLine(" PDF parameter A = " + A + "");
typeMethods.r8vec_print(A, b, " PDF parameter B = ");
typeMethods.r8vec_print(A, c, " PDF parameter C = ");
if (!EmpiricalDiscrete.empirical_discrete_check(A, b, c))
{
Console.WriteLine("");
Console.WriteLine("EMPIRICAL_DISCRETE_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++)
{
double x = EmpiricalDiscrete.empirical_discrete_sample(A, b, c, ref seed);
double pdf = EmpiricalDiscrete.empirical_discrete_pdf(x, A, b, c);
double cdf = EmpiricalDiscrete.empirical_discrete_cdf(x, A, b, c);
double x2 = EmpiricalDiscrete.empirical_discrete_cdf_inv(cdf, A, b, c);
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 empirical_discrete_sample_test()
//****************************************************************************80
//
// Purpose:
//
// EMPIRICAL_DISCRETE_SAMPLE_TEST tests EMPIRICAL_DISCRETE_SAMPLE.
//
// Licensing:
//
// This code is distributed under the GNU LGPL license.
//
// Modified:
//
// 17 October 2008
//
// Author:
//
// John Burkardt
//
{
const int A = 6;
const int SAMPLE_NUM = 1000;
double[] b =
{
1.0, 1.0, 3.0, 2.0, 1.0, 2.0
}
;
double[] c =
{
0.0, 1.0, 2.0, 4.5, 6.0, 10.0
}
;
int i;
int seed = 123456789;
double[] x = new double [SAMPLE_NUM];
Console.WriteLine("");
Console.WriteLine("EMPIRICAL_DISCRETE_SAMPLE_TEST");
Console.WriteLine(" EMPIRICAL_DISCRETE_MEAN computes the Empirical Discrete mean;");
Console.WriteLine(" EMPIRICAL_DISCRETE_SAMPLE samples the Empirical Discrete distribution;");
Console.WriteLine(" EMPIRICAL_DISCRETE_VARIANCE computes the Empirical Discrete variance.");
Console.WriteLine("");
Console.WriteLine(" PDF parameter A = " + A + "");
typeMethods.r8vec_print(A, b, " PDF parameter B = ");
typeMethods.r8vec_print(A, c, " PDF parameter C = ");
if (!EmpiricalDiscrete.empirical_discrete_check(A, b, c))
{
Console.WriteLine("");
Console.WriteLine("EMPIRICAL_DISCRETE_SAMPLE_TEST- Fatal error!");
Console.WriteLine(" The parameters are not legal.");
return;
}
double mean = EmpiricalDiscrete.empirical_discrete_mean(A, b, c);
double variance = EmpiricalDiscrete.empirical_discrete_variance(A, b, c);
Console.WriteLine("");
Console.WriteLine(" PDF mean = " + mean + "");
Console.WriteLine(" PDF variance = " + variance + "");
for (i = 0; i < SAMPLE_NUM; i++)
{
x[i] = EmpiricalDiscrete.empirical_discrete_sample(A, b, c, ref seed);
}
mean = typeMethods.r8vec_mean(SAMPLE_NUM, x);
variance = typeMethods.r8vec_variance(SAMPLE_NUM, x);
double xmax = typeMethods.r8vec_max(SAMPLE_NUM, x);
double xmin = typeMethods.r8vec_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 + "");
}
