Example: The Cumulative Distribution Functions
Various cumulative distribution functions are exercised. Their use in this example typifies the manner in which other functions in the Cdf class would be used.
using System;
using Imsl.Stat;
public class CdfEx1
{
public static void Main(String[] args)
{
double x, prob, result;
int p, q, k, n;
// Beta
x = .5;
p = 12;
q = 12;
result = Cdf.Beta(x, p, q);
Console.Out.WriteLine("beta(.5, 12, 12) is " + result);
// Inverse Beta
x = .5;
p = 12;
q = 12;
result = Cdf.InverseBeta(x, p, q);
Console.Out.WriteLine("inversebeta(.5, 12, 12) is " + result);
// binomial
k = 3;
n = 5;
prob = .95;
result = Cdf.Binomial(k, n, prob);
Console.Out.WriteLine("binomial(3, 5, .95) is " + result);
// Chi
x = .15;
n = 2;
result = Cdf.Chi(x, n);
Console.Out.WriteLine("chi(.15, 2) is " + result);
// Inverse Chi
prob = .99;
n = 2;
result = Cdf.InverseChi(prob, n);
Console.Out.WriteLine("inverseChi(.99, 2) is " + result);
}
}
Output
beta(.5, 12, 12) is 0.500000000000002
inversebeta(.5, 12, 12) is 0.5
binomial(3, 5, .95) is 0.0225925
chi(.15, 2) is 0.0722565136714471
inverseChi(.99, 2) is 9.21034037197624
Link to C# source.