The Poisson distribution in probability theory is named after him.

It implies that the number of points in a fixed region will follow a Poisson distribution.

The Poisson distribution can also be used for the number of events in other specified intervals such as distance, area or volume.

For example, one talks about "a Poisson distribution with mean value λ".

According to his model, the goals, which the opponents score during the game, are drawn from the Poisson distribution.

This being the case the Poisson distribution is a reasonable model.

Is the Poisson distribution a reasonable fit for these data?

In the limiting case of it is Poisson distribution, as with classical graphs.

In other words, the sum has approximately a Poisson distribution.

Hence a Poisson distribution is not an appropriate model.