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The phrase "a poisson distribution" is correct and usable in written English.
It can be used in statistical contexts when discussing a specific type of probability distribution that describes the number of events occurring in a fixed interval of time or space.
Example: "In our analysis, we found that the number of emails received per hour follows a poisson distribution."
Alternatives: "a Poisson model" or "a Poisson process".
Exact(59)
In addition, group sizes are distributed according to a Poisson distribution [17].
The model is incredibly simple: it assumes that goals in football follow a "Poisson distribution".
Assuming that the data is drawn from a Poisson distribution, one could use a likelihood ratio to compare the data from the group and knock-out stages.
The primary traffic evolves following a Poisson distribution.
Input traffic from KPIs is interpolated using a Poisson distribution.
In the simulation, the calls follow a Poisson distribution.
Seismic risks were also estimated, assuming a Poisson distribution for earthquake occurrence in time.
The number of cells showing a specific number of engulfed microspheres followed a Poisson distribution.
Fecundity followed a Poisson distribution.
In ER networks, node degree follows a Poisson distribution.
assuming a Poisson distribution and carried out the analyses using the software STATA®, version 9.
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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