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CDF

Evaluates the Burr distribution CDF.
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Interface

C++

CDF

 
doubleCDFdoublex
doublea
doubleb
doublec
doubled )[inline]
This function evaluates the CDF of the Burr distribution with given arguments, defined by

and

where b and c have strictly positive values.

In the example that follows, the CDF is evaluated using values from 0 up to 2, while the parameters a,b,c,d have fixed values -0.5, 0.7, 2.5 and 3.5 respectively.
There is an error with your graph parameters for CDF with options x=0:2 a=-0.5 b=0.7 c=2.5 d=3.5

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

The maximum number of precision digits, implicitly set to 17, may be changed through the PRECISION define.

Example 1

#include <codecogs/statistics/distributions/continuous/burr/cdf.h>
#include <iostream>
#include <iomanip>
 
#define PRECISION 17
 
int main()
{
  std::cout << "The values of the Burr CDF with " << std::endl;
  std::cout << "a = -0.5, b = 0.7, c = 2.5, d = 3.5 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::Burr::CDF(x, -0.5, 0.7, 2.5, 3.5);
    std::cout << std::endl;
  }
  return 0;
}
Output
The values of the Burr CDF with
a = -0.5, b = 0.7, c = 2.5, d = 3.5 and
x = {0, 0.1, 0.2, ... , 0.8} are
 
x =   0 : 0.015011611611517064
x = 0.1 : 0.042214073569134036
x = 0.2 : 0.088388347648318433
x = 0.3 : 0.15101951651603249
x = 0.4 : 0.22392439421917074
x = 0.5 : 0.30045023519396202
x = 0.6 : 0.37539504317313416
x = 0.7 : 0.44548599437492181
x = 0.8 : 0.50908462139895982

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)
dthe fourth parameter of the distribution

Returns

the CDF of the Burr 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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