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The phrase "appropriately estimated using the" is correct and usable in written English.
It can be used when discussing the method or process of estimating something in a suitable or fitting manner.
Example: "The project's budget should be appropriately estimated using the latest market data to ensure accuracy."
Alternatives: "properly assessed with the" or "suitably calculated using the".
Exact(2)
The first step in the well-testing interpretation is to identify the underlying reservoir model by which model-related parameters could then be appropriately estimated using the appropriate conventional techniques.
It should also be emphasised that use of our severity-specific algorithms requires some means of distinguishing 'low severity' patients (whose AQoL scores are most appropriately estimated using the 'low severity' algorithms) from 'moderate to high' severity patients (whose AQoL scores are most appropriately estimated using the 'moderate to severe' algorithms).
Similar(58)
By comparing with experimental results, it is found that the Young's modulus of rubber-toughened epoxies can be accurately estimated using the Mori–Tanaka method, provided that the volume fraction of rubber particles is appropriately evaluated.
Protein concentration was estimated using the Micro BCA Protein Assay Kit Thermoo).
For each model, the protein synthesis rate was estimated using an appropriately modified MCMC scheme.
As in POD, the relative importance of each DMD mode can be estimated using an appropriately defined energy criterion.
Finally, columns (c) give comparable estimates using the MESE model, equations (7)–(9), appropriately adjusting for the latent structure of the cognitive measure.
Using appropriately estimated cross tangent vectors at the given points, we split the problem into a sequence of local Hermite problems, each of which can be one of the following three types: "one-to-one", "one-to-many" or "many-to-many".
The other parameters have to be appropriately estimated, see Section 3.
To circumvent this limitation, multiple imputation (Little and Rubin 2002) uses sampling from a distribution of values to appropriately estimate the variability and statistical significance.
A novel and direct procedure is presented for the realization of atmospheric turbulence by an appropriately estimated autoregressive model.
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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