# What can a Poisson regression be used to estimate?

##### 1 Answer

Jan 14, 2017

Pretty much anything countable that could be any value from 0 to infinity.

#### Explanation:

The Poisson distribution is used for modelling things that must be countable, potentially 0, but also potentially quite large/infinite. As a reminder, here's a picture of the probability mass function of a Poisson distribution:

Common examples of situations best modelled with Poisson are:

- length of a phone call to a help desk (in minutes),
- number of cars passing through an intersection during a single green light,
- number of customers rung through a checkout in 5 minutes,
- number of children in a family,
- number of people waiting at a bus stop,
- etc.

All of these examples are for things that are discrete (a.k.a. countable), non-negative, and potentially quite large. If the range of possible values needs to be positive *and continuous* (rather than discrete), a Gamma distribution may be best. If the data range is far enough from zero (or could potentially include negative values), a Normal distribution is usually preferred.