PDF

Interface

PDF

This function evaluates the PDF of the Bradford distribution with given argument, defined by

and

where

In the example that follows, the PDF is evaluated using values from 0 up to 0.8 with a step equal to 0.1, while the parameters have fixed values 0, 0.7 and 2.5 correspondingly. The maximum number of precision digits, implicitly set to 17, may be changed through the <em> PRECISION </em> define.

Example 1

#include <codecogs/stats/dists/continuous/bradford/pdf.h>
#include <iostream>
#include <iomanip>
 
#define PRECISION 17
 
int main()
{
  std::cout << "The values of the Bradford PDF with " << std::endl;
  std::cout << "a = 0, b = 0.7, c = 2.5 and" << std::endl;
  std::cout << "x = {0, 0.1, 0.2, ... , 0.8} are" << std::endl;
  std::cout << std::endl;
  std::cout << std::setprecision(10);
  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::Bradford::PDF(x, 0, 0.7, 2.5);
    std::cout << std::endl;
  }
  return 0;
}

Output

The values of the Bradford PDF with
a = 0, b = 0.7, c = 2.5 and
x = {0, 0.1, 0.2, ... , 0.8} are
 
x =   0 : 0
x = 0.1 : 2.1006200003892843
x = 0.2 : 1.6629908336415169
x = 0.3 : 1.3762682761171172
x = 0.4 : 1.1738758825704825
x = 0.5 : 1.0233789745486259
x = 0.6 : 0.90708590925900912
x = 0.7 : 0.81452612259992652
x = 0.8 : 0

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 PDF
a	the first parameter of the distribution (strictly less than b)
b	the second parameter of the distribution
c	the third parameter of the distribution (strictly positive)

Returns

the PDF of the Bradford 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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