saka_the_bartender

31/08/2025

In 1837, Siméon Denis Poisson introduced the Poisson distribution while studying jury verdicts. His aim was to model the likelihood of rare events. Unexpectedly, this simple probability law became universal governing phenomena from atomic decay to traffic flow revealing how chance itself organizes the fabric of our world.

31/08/2025

The Poisson distribution is a probability model that describes the number of times an event occurs within a fixed interval of time or space, given that the events occur independently and at a constant average rate. It is often used to model rare or random events, such as the number of phone calls at a call center per hour, accidents at an intersection, or defects in a manufacturing process. The distribution is defined by a single parameter λ (lambda), which represents the average rate of occurrence. Its probability mass function gives the chance of observing exactly k events in the interval.

distribution theory

31/07/2025

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06/03/2025

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