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The idea behind the shrinkage approach is that an improved (in terms of total mean square error) estimate can be obtained by simultaneously estimating all elements of the covariance matrix.
By simultaneously estimating all different equations we use all the relevant information in a balanced manner and therefore obtain a more accurate result than other more simple mathematical techniques, such as the rule of three or a Lagrange optimisation.
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By the new equivalent forms of the variance-based sensitivity indices and the multiplication approximation of the response function, the proposed method can simultaneously estimate all the order effects by repeatedly making use of the same sample points.
The variance explained by the QTL region was calculated by simultaneously estimating the variance explained by all the regions and all the other non-significant SNPs.
Thus, the probability model simultaneously estimating all unknowns is introduced into the proposed method.
By simultaneously estimating the two equations, we can compare the productivity effects with wage effects to determine the equality of marginal productivity and wages.
By simultaneously estimating and suppressing the environment-dependent reverberation with a one-step environment-dependent DAE (that is, reverberation-aware DAE), the mismatch between the training data and test data will be reduced.
Replicates are integrated by simultaneously estimating multiple sets of model parameters.
*BEAST generates posterior samples by simultaneously estimating gene and species trees under a hierarchical coalescent model while allowing for independent evolutionary processes in each genomic region.
The IsoEM algorithm (see Figure 2) overcomes this difficulty by simultaneously estimating the frequencies and imputing the missing read origin within an iterative framework.
By simultaneously estimating the regression coefficients β and the autoregressive error parameters φ i, the model corrects the regression estimates for autocorrelation, a common problem in time-series data.
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CEO of Professional Science Editing for Scientists @ prosciediting.com