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Compared to reliability (3.7), efficiency (4.6) provides the converse estimate and states that the error is not overestimated by the estimator, up to some oscillation terms osc (⋅ ; U determined from the given data.
Therefore, this Fisher-score device allows us to improve the preliminary estimator up to asymptotically efficient (see details, e.g., in Lehmann and Romano (2005)).
The pooled estimator has a lower mse than the individualed estimator up to roughly 50% prevalence (and higher as the sensitivities decrease, because that lowers the probability of all positive pools).
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The parameter estimator can estimate up to 52 model parameters in order to validate the process model by reducing process model mismatch.
This empirical relationship was the most efficient estimator for up to 20%weightt percent clay content; the most common situation in the sandstone reservoirs.
In view of the fact that noise statistics and initial errors are commonly not well known, especially for time‐variant models, theoretically optimal estimators end up being suboptimal in practical applications.
Therefore, the scale-up estimator produced an estimated proportion of heavy drug users of 3.3%9595% CI: 2.7, 4.1) (see Web Appendix).
Simultaneity causes the OLS estimator to pick up both forward and backward effects, biasing the estimation.
Compared to the detection scheme in (9), the new one in (19) offers improved performance at small sample support, as the number of independent vector measurements required for the covariance matrix estimator decreases by up to a factor of two [19].
We show that the ZZ-type error estimator is contractive up to some vanishing perturbation (75) η ℓ + 1 ≤ q η ℓ + α ℓ with 0 ≤ α ℓ → ℓ → ∞ 0 for some ℓ-independent constant 0 < q < 1.
The generalized network scale-up estimator relaxes 2 assumptions of the network scale-up estimator.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com