Check PDF and CDF Values

The Poisson Distribution

\[ P(k \mid \lambda, t) = \frac{(\lambda t)^k e^{-\lambda t}}{k!} \]

The Poisson distribution models the number of events (k) occurring in a fixed interval of time (t) given a constant rate (λ).

If you have observed a certain number of events over a time interval, you can use this calculator to compute the posterior probability distribution of the rate parameter λ for the process.