Poisson Distribution & The Poisson Process

Connect Poisson counts to event arrivals over time. Practice rate conversions, exact probabilities, moments, independent streams and rare-event approximations, then diagnose overlapping windows, batch arrivals and changing rates. Prerequisites: discrete random variables, independence, binomial counts and conditional probability. More demanding items derive conditional splits and mixture variability from elementary probability identities.

Further reading:

• Hossein Pishro-Nik: Poisson process
• Hossein Pishro-Nik: Special discrete distributions

Cover: Photo by Kostiantyn Zavhorodnii on Pexels.