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The phrase "the estimation of the" is correct and usable in written English.
It can be used when discussing the process of assessing or calculating a value or quantity.
Example: "The estimation of the project costs was completed last week, and we are now reviewing the budget."
Alternatives: "the assessment of" or "the evaluation of".
Exact(58)
Toutain, T. & Appourchaux, T. Maximum likelihood estimators: an application to the estimation of the precision of helioseismic measurements.
In the estimation of the broker, Wiswell was a useful functionary but hardly a criminal genius.
This enables the estimation of the speed of the cliff's retreat.
On the Estimation of the Multinomial Probit Model, Transportation Research, 16A 6):447-456, November 1982.
An asymptotic result on the estimation of the localizing coefficient is also presented.
Benkert, P., Biasini, M. & Schwede, T. Toward the estimation of the absolute quality of individual protein structure models.
D.P. assisted with the statistical analysis, especially the estimation of the observationally constrained PDF in Fig. 3b.
Gundersen, H. J. G. Notes on the estimation of the numerical density of arbitrary profiles: the edge effect.
The estimation of the CGARP parameters is discussed.
There are, however, major uncertainties in the estimation of the pore-water flux of sodium ions.
After all, in the estimation of the president, we are the foremost defender of freedom, human rights and democracy in the world.
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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