triqs::stat::mean_and_err

#include <triqs/stat.hpp>

Synopsis

template<typename V>

auto mean_and_err (V const & data)

Calculate arithmetic mean and standard error [REF] of data in an iterable container.

Template parameters

V Iterable type. Pre-conditions: elements must be: addable to each other, have element-wise multiplication, have complex conjugation defined via conj [REF] .

Parameters

data Container with data

Returns

std::pair with [mean, standard error]; types are deduced from first element of data

Example

#include <triqs/stat/mean_error.hpp>

using namespace triqs::stat;

int main() {
  std::vector<double> data{1., 2., 3., 4.};
  auto [ave, err] = mean_and_err(data);
  std::cout << "Average: " << ave << "\n"; // = 2.5
  std::cout << "Standard Error: " << err << std::endl; // = sqrt(5. / 12)
}

Output

Average: 2.5
Standard Error: 0.645497