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The phrase "ability to estimate the" is correct and usable in written English.
It can be used when discussing someone's skill or capacity to make estimations in various contexts, such as project management, finance, or scientific research.
Example: "Her ability to estimate the project's budget accurately was crucial for its success."
Alternatives: "capacity to assess the" or "skill in evaluating the".
Exact(60)
These theoretical estimators have in common the ability to estimate the propagation parameters in their localization algorithm itself.
The collection and study of variable star data requires the ability to estimate the apparent magnitudes of stars.
The experimental results demonstrate that the SGWTDoA has the ability to estimate the DoA accurately.
This yields the ability to estimate the acoustic characteristic by the product of the individual element four-pole parameters.
The response of the TE model showed its ability to estimate the time to empty the ponds.
Significant research effort has led to improvements in our ability to estimate the ultimate bearing resistance of footings in sand.
The ability to estimate the resultant acceleration obtained is highly desirable, as time to market deadlines are being ever shortened.
An extra system feature is the ability to estimate the total disturbance (as e.g. current plus wind).
Humans have the ability to estimate the passage of time in the absence of external time cues.
Yet little is known about parental ability to estimate the sugar content of foods and beverages and how this ability is associated with children's body mass index (BMI).
One of the major challenges of using microfine cement grouts is the ability to estimate the N within a reasonable level of error.
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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