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The OLS would, therefore, provide biased and inconsistent estimates of the model parameters due to simultaneity bias.
However, uncertainty in model parameters due to a lack of identifiability may greatly limit the use of models for purposes such as parameter regionalization or the investigation of land use or climate.
A variance-covariance matrix of the model parameters due to propagation error of measurement (S m ) can be calculated as {boldsymbol{S}}_m={boldsymbol{G}}_y{boldsymbol{S}}_y{boldsymbol{G}}_y^{mathrm{T}}.
Similarly, a variance-covariance matrix of model parameters due to a priori error (S s ) can be obtained using G a = I n − A as {boldsymbol{S}}_s={boldsymbol{G}}_a{boldsymbol{S}}_e{boldsymbol{G}}_a^{mathrm{T}}.
Combining literature-derived case burdens with population-derived estimates of control burdens led to unstable estimates of model parameters, due to the small numbers of variants.
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However, as model parameters are uncertain, due to model inaccuracies and experimental errors, all model results are subject to uncertainties.
Systematic errors of retrieved model parameters (ε x ) due to estimation errors of the forward model in the observational parameters (ε f ) can be estimated as {boldsymbol{varepsilon}}_x={boldsymbol{G}}_y{boldsymbol{varepsilon}}_f.
Possible uncertainties of the underlying model parameters, prediction errors due to simplifying assumptions regarding the reactor behavior and suboptimal realizations of the design along the reaction coordinate are in general not considered.
Historical estimates of model parameters were scant due to the poor record keeping and preservation endemic in frontier regions.
The errors due to model parameter estimates, those due to residual variability around model prediction, and the percentage of the total error attributed to biomass model were larger for BEF models (than for regression models), except for stem and stem wood components.
In fact, it has been noted here that the BEF-based foliage biomass is associated with the largest percent error (11.55 %), and that 84%% of that error is attributed to BEF model (Table 4), besides being associated to the largest error due to model parameter estimates and due to residual variability around model prediction (within and between methods).
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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.
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CEO of Professional Science Editing for Scientists @ prosciediting.com