The Poisson Process

Part of the Springer Texts in Statistics book series (STS)


Suppose that an event E may occur at any point in time and that the number of occurrences of E during disjoint time intervals are independent. As examples we might think of the arrivals of customers to a store (where E means that a customer arrives), calls to a telephone switchboard, the emission of particles from a radioactive source, and accidents at a street crossing. The common feature in all these examples, although somewhat vaguely expressed, is that very many repetitions of independent Bernoulli trials are performed and that the success probability of each such trial is very small.


Poisson Process Occurrence Time Independent Increment Original Process Disjoint Time Interval 
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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of MathematicsUppsala UniversityUppsalaSweden

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