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'estimate the model' is a correct and usable phrase in written English.
You could use it in a variety of contexts, such as a technical report or in an article about machine learning algorithms. For example: "The researchers used a linear regression algorithm to estimate the model, which was then used to predict the likelihood of outcomes."
Exact(60)
Then, an estimator is designed to estimate the model parameters segment by segment.
The bootstrapping estimation method is applied to estimate the model parameters.
I propose an estimation method based on indirect inference and estimate the model with PSID data.
We estimate the model using data from Mexico and Canada.
We exploit these complementarities to solve the firm's problem and estimate the model.
The Bayesian method is employed to estimate the model parameters.
A Bayesian approach is used to estimate the model parameters.
We estimate the model using Brazilian micro data and evaluate the labor market and welfare effects of policies towards informality.
We developed an expectation-maximization algorithm to estimate the model.
Combining data from this and a complementary field experiment, we structurally estimate the model.
After that, we discuss how to estimate the model 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