The phrase "are utilized for estimating" is correct and usable in written English.
It can be used in contexts where you are discussing methods, tools, or processes that are employed to make estimations or assessments.
Example: "Various statistical models are utilized for estimating the potential outcomes of the experiment."
Alternatives: "are used for estimating" or "are employed for estimating".
Here this property is utilized for estimating the gradient of an optimal control type cost function with respect to the design parameters of the controllers.
Predictive and validated regression models (2D and 3D QSAR and ligand-based pharmacophore mapping studies) were utilized for estimating the potency whereas classification models (Bayesian and recursive partitioning analyses) were used for determining the selectivity of MMP-2 inhibitors over MMP-9.
and, in the proposed method, the following simple Lagrange multiplier approach is utilized for estimating the optimal vector of x i, j ( t ) : ∇ x i, j ( t ) τ σ y i 2 + x i, j ( t ) ′ K i, j ( t ) x i, j ( t ) + C 2 - 2 k i, j ( t ) ′ x i, j ( t ) + C 2 + λ μ D i, j ( t ) ′ x i, j ( t ) - ρ i, j ( t ) = 0, (27).
Our matrix approximation model decomposes the original double-mutant fitness matrix into separate components, representing variability across the array and query mutants, which can be utilized for estimating and correcting the single-mutant fitness effects, respectively.
Then we sum the feature values over all regions, deriving the overall facial color features which would be utilized for estimating the color and gloss degree later.
These same procedures can be utilized for estimating the relative hazard involved if one compares the liver-damaging potency to the median effective dose for some other pharmacologie parameter.
Since the validation subsample was representative, and there was no difference between the self-reported and measured group, except in perceived health status, it seems that the self-reported values may be utilized for estimating prevalence of overweight and, in particular, obesity.
The CODEML program in the PAML (Phylogenetic Analysis using Maximum Likelihood) suite of software (ver. 4.4) (3) was utilized for estimating evolutionary rates (by convention designated as ω = d N/d S) although any similar methodology (e.g. HyPhy) can be used (4).
The models estimated are utilized for out-of-sample forecasting.
