Contrasting [[Bernoulli Process]] and [[Poisson Process]]. | Metric | Bernoulli | Poisson | | ------------------------------ | -------------------------- | ---------------------------- | | Times of Arrival | Discrete | Continuous | | Arrival Rate | $p$ (per trial) | $\lambda$ (per unit time) | | PMF (Number of Arrivals) | [[Binomial Distribution]] | [[Poisson Distribution]] | | PMF/PDF (Time to Next Arrival) | [[Geometric Distribution]] | [[Exponential Distribution]] | | PMF/PDF (Time to k-th Arrival) | Pascal Distribution | [[Erlang Distribution]] |