Poisson StructureInfer.NET Documentation
Microsoft Research, Cambridge
A Poisson distribution over the integers [0,infinity).

Namespace: MicrosoftResearch.Infer.Distributions
Assembly: Infer.Runtime (in Infer.Runtime.dll) Version: 2.5.30417.0 (2.5.30417.0)
Syntax

Remarks

The Poisson is often used as a distribution on counts. The formula for the distribution is p(x) = rate^x exp(-rate) / x! where rate is the rate parameter. In this implementation, we use a generalization called the Conway-Maxwell Poisson or "Com-Poisson", which has an extra precision parameter nu. The formula for the distribution is p(x) =propto rate^x / x!^nu. With this extension, we can represent a uniform distribution via (rate=1,nu=0) and a point mass via rate=0 or nu=infinity. This family is closed under multiplication, while the standard Poisson is not.

See Also