Rigorous Estimation of Local Accuracies Revisited

Abstract

New insights about the concept of local accuracies are elaborated in this article. Recently found evidence supports the mathematical rigor of equations previously published in this journal as a unique alternative to rigorously estimate local accuracies. A mathematical algorithm to compute the averaged local accuracies at a point using the full network statistics of a preselected cluster of surrounding points is introduced. The relationship between eigenvalues and eigenvectors of error ellipsoids among different local frames is also addressed.