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Poisson

In: Statistical Distributions

Author

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  • Nick T. Thomopoulos

    (Illinois Institute of Technology, Stuart School of Business)

Abstract

The Poisson distribution is named after Simmeon Poisson, a leading French mathematician during the early 1800s. The distribution applies when the random variable is discrete and represents the number of events that occur in a unit-of-scale, such as unit-or-time or unit-of-area. The rate of events occurring is constant and the number of events are the integers of zero and larger. This distribution is used heavily in the study of queuing systems, and also in statistical process control. In queuing, the random variable pertains to the number of arriving units to a system in a unit-of-time; and also pertains to the number of departing units in a unit-of-time for a continuously busy service facility. In statistical process control, the random variable pertains to the number of defectives occurring in a unit of product. The distribution is mostly described in one unit-of-scale, but easily extends to multiple units-of-scale. This distribution is often used in place of the normal when the expected number of events is relatively low.

Suggested Citation

  • Nick T. Thomopoulos, 2017. "Poisson," Springer Books, in: Statistical Distributions, chapter 0, pages 143-148, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-65112-5_17
    DOI: 10.1007/978-3-319-65112-5_17
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