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"prior distribution" is a correct and usable phrase in written English.
You can use it whenever you need to refer to a probability distribution that is used as background information in statistical inference. For example, "In order to estimate the likelihood of certain outcomes, we need to consider the prior distribution of events."
Exact(60)
(b) Prior Distribution.
A prior distribution is not necessary.
In addition, we specify a prior distribution.
Prior distribution of CIT and material parameters.
Let us consider here the prior distribution.
The prior distribution and the posterior distribution derived from the prior distribution.
The choice of prior distribution is more or less arbitrary.
The criterion of the selection of prior distribution is addressed.
Finally, each sensor t has some prior distribution denoted.
Algorithm 2. Initialize: Generate samples from the prior distribution.
We first specify a prior distribution for the parameter (Sigma).
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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