triqs::stat::tau_estimate_from_errors

#include <triqs/stat.hpp>

Synopsis

template<typename T>
auto tau_estimate_from_errors (T const & error_with_binning, T const & error_no_binning)

Compute estimates for the auto-correlation times \(\tau\) log-binned standard errors.

Template parameters

  • T regular type which defines element-wise multiplication and division.

Parameters

  • error_with_binning standard error of measurement with binning \(\Delta_n\)

  • error_no_binning standard error of measurement with without binning \(\Delta_0\)

Returns

Estimate of the auto-correlation time \(\tau\), using

\[\tau = \frac{1}{2}\left[\left(\frac{\Delta_n}{\Delta_0}\right)^2 - 1\right]\]