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# CDF Inv

Evaluates the Arcsin distribution CDF inverse.
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## CDF Inv

 doubleCDF_inv( double x double a )[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

 x the argument of the CDF inverse a the 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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