Poisson Process Visualizer

Arrival times, inter-arrival distributions, spatial Poisson

Event timeline — arrivals marked as ticks

Inter-arrival times histogram vs Exp(λ) PDF

Count histogram vs Poisson(λ·T) PMF

Spatial Poisson process (2D) — uniform random points

λ (rate): T (window): Trials: Spatial λ:

A Poisson process has memoryless inter-arrival times Exp(λ), and counts N(t)~Poisson(λt). The process is completely characterized by its rate λ. Spatial Poisson: points uniformly distributed with count Poisson(λ·Area). The law of rare events: sums of independent rare Bernoulli events converge to Poisson.