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The phrase "a preliminary estimate" is correct and usable in written English.
It can be used when referring to an initial calculation or assessment that is subject to change as more information becomes available.
Example: "Before we finalize the budget, we need to provide a preliminary estimate of the project costs."
Alternatives: "an initial estimate" or "a rough estimate".
Exact(57)
The reading was identical to a preliminary estimate made a month ago.
And that's just a preliminary estimate.
Because it was a preliminary estimate, the government offered no details.
The measure was down from a preliminary estimate of 63.2 issued on April 11.
The government plans to release a preliminary estimate Friday morning of March job creation.
That was slightly better than a preliminary estimate the government reported last week.
This month the Census Bureau published a preliminary estimate of poverty, using a new definition.
The HSBC-Markit purchasing managers index stood at 50.2 in September, down from a preliminary estimate of 50.5.
'I'll need to take a look around before I can give you a preliminary estimate of how long it'll take.
The figures from the Office for National Statistics ONSS) will be a preliminary estimate and be subject to revision.
That's what happened 18 months ago, when a preliminary estimate put first-quarter 2002 growth at 5.8percentt.
More suggestions(16)
a preliminary prediction
a preliminary valuation
a preliminary gauge
a preliminary budget
a preliminary prognosis
a prior estimate
a preliminary calculation
a preliminary reckoning
a primary estimate
a preliminary predictor
a preliminary run
a generous estimate
a preliminary result
a preliminary evaluation
a hefty estimate
a safe estimate
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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