Comparison of theoretical formulae and bootstrap method for statistical error estimation of Feynman-α method
T Endo, A Yamamoto - Annals of Nuclear Energy, 2019 - Elsevier
This paper discusses the statistical error of the variance-to-mean ratio, or the Y value in the
Feynman-α method, from a single measurement of reactor noise. As a theoretical approach,
two practical theoretical formulae are derived to estimate the statistical error of Y: one is
based on the propagation of uncertainty with unbiased estimators for the third-and fourth-
order central moments; the other is a simplified formula that reuses the Y value under the
fundamental mode approximation, where the subcriticality is approximately less than 10,000 …
Feynman-α method, from a single measurement of reactor noise. As a theoretical approach,
two practical theoretical formulae are derived to estimate the statistical error of Y: one is
based on the propagation of uncertainty with unbiased estimators for the third-and fourth-
order central moments; the other is a simplified formula that reuses the Y value under the
fundamental mode approximation, where the subcriticality is approximately less than 10,000 …