Poisson Distribution |
(discrete probab dist for equations) |
Usage: |
PoissonDist (k, μ) |
Definition: |
exp (-μ) * μ^k / k! = exp (-μ + k * log (μ) - log (k!)) |
Required: |
μ > 0 k is an integer |
Support: |
k ⋝ 0 |
Moments: |
mean = μ σ^2 = μ γ1 = 1 / sqrt (μ) β2 = 3 + 1/μ |
If events occur by a Poisson process, then the number of events that occur in a fixed time interval is described by the Poisson distribution (where m is the average number of events per unit time).