The following code of mine compute the confidence interval using Chi-square's 'quantile' and probability function from Boost.
I am trying to implement this function as to avoid dependency to Boost. Is there any resource where can I find such implementation?
#include <boost/math/distributions/chi_squared.hpp>
#include <boost/cstdint.hpp>
using namespace std;
using boost::math::chi_squared;
using boost::math::quantile;
vector <double> ConfidenceInterval(double x) {
vector <double> ConfInts;
// x is an estimated value in which
// we want to derive the confidence interval.
chi_squared distl(2);
chi_squared distu((x+1)*2);
double alpha = 0.90;
double lower_limit = 0;
if (x != 0) {
chi_squared distl(x*2);
lower_limit = (quantile(distl,((1-alpha)/2)))/2;
}
double upper_limit = (quantile(distu,1-((1-alpha)/2)))/2;
//cout << x << "\t";
//cout << setprecision(5) << setw(10) << lower_limit << "\t";
//cout << setprecision(5) << setw(10) << upper_limit << endl;
ConfInts.push_back(lower_limit);
ConfInts.push_back(upper_limit);
return ConfInts;
}