Moreover, if the error estimator η satisfies an efficiency estimate, also optimal convergence of the error will be guaranteed by Theorem 4.5.
This study also shows that laboratory estimates of the flow coefficient cannot be simply extended into an efficiency estimate for a complete system.
Finally, the study implemented a truncated regression equation using the bootstrapped efficiency estimate as the dependent variable, and a selection of indicators measuring the quality of public services offered in the context as the independent variables.
We consider the relative efficiency (estimate divided by its standard error) of treatment effects derived from the DSM, the generic QOL, the generic QOL indirectly estimated from the mapped DSM, and a pooled estimate combining the direct and indirect information on the generic QOL.
Remark 3.2 The proof reveals that the efficiency estimate (3.4) is valid for any approximation ϕ h of ϕ, while the upper reliability estimate (3.5) requires some Galerkin orthogonality.
Unlike the reliability estimate (62), the following efficiency estimate (66) does not rely on the saturation assumption (61), but holds only up to some further best approximation error with higher-order elements.
