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The phrase "empirical estimates" is correct and can be used in written English.
It is used to refer to an estimate or judgment based on observation or experience rather than theory. For example, "The empirical estimates of the research team suggest that global temperatures will rise significantly in the next decade."
Exact(60)
Even indirect methods of estimation prove useful in returning empirical estimates of demand responsiveness were severe data constraints exist.
Third, empirical estimates typically contain outliers that reflect sampling problems, estimation methods, or artifacts associated with data and methods.
Our model and empirical estimates suggest an optimal mandate penalty of $2,190.
We present empirical estimates and out-of-sample forecasts for several GDTSMs using data on U.S. Treasury bond yields.
We derive simple formulas that map reduced-form empirical estimates into quantitative predictions for optimal tax and social insurance policy.
We show how these empirical estimates of average connectedness are used to validate candidate gene pairs.
We provide empirical estimates of the economic benefits of improving market access and reducing transportation costs.
The results are validated by empirical estimates of measurements in situ.
CV values based on the analytical framework are first corroborated using empirical estimates.
Brown, P. T., Li, W., Cordero, E. C. & Mauget, S. A. Comparing the model-simulated global warming signal to observations using empirical estimates of unforced noise.
LandMod predictions of potential natural vegetation closely matched empirical estimates, with an average overall fit of 94% (S.E.=0.01).
More suggestions(15)
pragmatic estimates
anecdotal estimates
empirical estimations
empirical projections
experimental estimates
operational estimates
tentative estimates
empirical calculations
tangible estimates
empirical projects
empirical valuations
empirical assessments
actual estimates
empirical valuation
evidence based estimates
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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