The Poisson point process is a continuous version of the Bernoulli process. Consider the interval from 0 to infinity as our times, and events happening at some of those times. For instance, it could be that every so often, a customer arrives at a shop. For a tiny sliver of time, the chance of a customer arrival could be modeled as being the width of the sliver times the rate of the process. The result is a Poisson point process, and this gives rise to several important distributions, such as the Poisson (big surprise), the exponential, and the gamma.
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Probability Adventures #11 Poisson point Process | NatokHD