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CDF Inv

Evaluates the Arcsin distribution CDF inverse.
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Interface

C++
Excel
HTML

CDF Inv

 
doubleCDF_invdoublex
doublea )[inline]
This function evaluates the CDF inverse of the Arcsin distribution with given argument, defined by

In the example that follows, the CDF inverse 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.

Example 1

#include <codecogs/stats/dists/continuous/arcsin/cdf_inv.h>
#include <iostream>
#include <iomanip>
 
#define PRECISION 17
 
int main()
{
  std::cout << "The values of the Arcsin CDF inverse with a = 0.6";
  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_inv(x, 0.6);
    std::cout << std::endl;
  }
  return 0;
}

Output

The values of the Arcsin CDF inverse with a = 0.6
x = {0, 0.1, 0.2, ... , 0.7, 0.8} are
 
x =   0 : -0.59999999999999998
x = 0.1 : -0.57063390977709216
x = 0.2 : -0.48541019662496843
x = 0.3 : -0.35267115137548377
x = 0.4 : -0.18541019662496841
x = 0.5 : 0
x = 0.6 : 0.18541019662496841
x = 0.7 : 0.35267115137548377
x = 0.8 : 0.48541019662496837

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 inverse
athe parameter of the CDF inverse (must be positive)

Returns

the inverse CDF of the Arcsin distribution

Authors

Lucian Bentea (September 2005)
Source Code

Source code is available when you buy a Commercial licence.

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