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"analysis to estimate" is correct and usable in written English.
You can use it when you are talking about using a method to come up with an estimation of a numerical value based on an analysis of data or observations. For example, "The team conducted an analysis to estimate the size of the target market for the product."
Exact(60)
SEM applies a confirmatory factor analysis to estimate latent constructs.
Figure 5 indicated NH3-TPD analysis to estimate the acidity of catalysts.
This supernatant was used for further analysis to estimate total reducing sugar by DNS method.
The structural response is assessed by nonlinear dynamic (time history) analysis, to estimate the seismic response.
Zio, et al [106], proposed a method based on fuzzy similarity analysis to estimate system RUL.
We used bivariate analysis to estimate odds ratios (ORs) with 95% confidence intervals (CIs).
(4) Cost benefit analysis to estimate the net benefit of the mitigation designs.
The mooring system was designed using finite element analysis to estimate the additional investment.
We used population viability analysis to estimate MVPs for 102 species.
We describe the application of a multiparametric analysis to estimate the UHE Cosmic Rays composition.
Thereafter, the simulated data was treated by non-linear regression analysis to estimate the kinetic parameters.
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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