Poisson process
Quick Summary
The Poisson process is a mathematical model used in probability theory to describe the timing of events that occur randomly and independently over time or space. It's often used to model phenomena like the number of customers arriving at a service point, or the occurrence of radioactive decay.12
Key characteristics include:
* Random Arrivals: Events happen at unpredictable intervals.
* Independence: The occurrence of one event does not influence the timing of future events.
* Constant Rate: On average, the number of events occurring in a fixed interval is constant.34
The Poisson distribution, closely related to the Poisson process, calculates the probability of a specific number of events occurring within a given interval, assuming a known average rate. This makes it a valuable tool for analyzing systems where random occurrences are significant.532
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