CDF

Interface

CDF

This function evaluates the CDF of the Arcsin distribution with given argument, defined by

and

Example 1

In the example that follows, the CDF is evaluated using values from 0 up to 0.8 with a step equal to 0.1. The maximum number of precision digits, implicitly set to 17, may be changed through the <em> PRECISION </em> define.

#include <codecogs/stats/dists/continuous/arcsin/cdf.h>
#include <iostream>
#include <iomanip>
 
#define PRECISION 17
 
int main()
{
  std::cout << "The values of the Arcsin CDF with a = 0.7 and";
  std::cout << std::endl;
  std::cout << "x = {0, 0.1, 0.2, ... , 0.7, 0.8} are" << std::endl;
  std::cout << std::endl;
  for (double x = 0; x < 0.81; x += 0.1)
  {
    std::cout << std::setprecision(1);
    std::cout << "x = " << std::setw(3) << x << " : ";
    std::cout << std::setprecision(PRECISION);
    std::cout << Stats::Dists::Continuous::Arcsin::CDF(x, 0.7);
    std::cout << std::endl;
  }
  return 0;
}

Output

The values of the Arcsin CDF with a = 0.7 and
x = {0, 0.1, 0.2, ... , 0.7, 0.8} are
 
x =   0 : 0.5
x = 0.1 : 0.54562894834298992
x = 0.2 : 0.59223083110566799
x = 0.3 : 0.64098296402862398
x = 0.4 : 0.69361058099470274
x = 0.5 : 0.7532482855711502
x = 0.6 : 0.82776267147847782
x = 0.7 : 1
x = 0.8 : 1

References

John Burkardt's library of statistical C++ routines, http://www.csit.fsu.edu/~burkardt/cpp_src/prob/prob.html

Parameters

x	the argument of the CDF
a	the parameter of the CDF (must be strictly positive)

Returns

the CDF of the Arcsin distribution

Authors

Lucian Bentea (September 2005)

Source Code

Source code is available when you agree to a GP Licence or buy a Commercial Licence.

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