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CDF

Evaluates the Bradford distribution CDF.
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Interface

C++
Excel

CDF

 
doubleCDFdoublex
doublea
doubleb
doublec )
This function evaluates the CDF of the Bradford distribution with given argument, defined by

and

where

In the following figure a =-10 b= 10 and the curve of the line is set by c =5
There is an error with your graph parameters for CDF with options x=-10:10 a=-10 b=10 c=5

Error Message:Function CDF failed. Ensure that: Invalid C++

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/bradford/cdf.h>
#include <iostream>
#include <iomanip>
 
#define PRECISION 17
 
int main()
{
  std::cout << "The values of the Bradford CDF with " << std::endl;
  std::cout << "a = 0, b = 0.7, c = 3 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::CDF(x, 0, 0.7, 3);
    std::cout << std::endl;
  }
  return 0;
}

Output

The values of the Bradford CDF with
a = 0, b = 0.7, c = 3 and
x = {0, 0.1, 0.2, ... , 0.8} are
 
x =   0 : 0
x = 0.1 : 0.25728658641487911
x = 0.2 : 0.44654239804174406
x = 0.3 : 0.59632253897119802
x = 0.4 : 0.72028629569299074
x = 0.5 : 0.82603834828984657
x = 0.6 : 0.91825063385856021
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

xthe argument of the CDF
athe first parameter of the distribution (strictly less than b)
bthe second parameter of the distribution
cthe third parameter of the distribution (strictly positive)

Returns

the CDF 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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