Some Applications of the Poisson Process

Abstract

The Poisson process is a stochastic process that models many real-world phenomena. We present the definition of the Poisson process and discuss some facts as well as some related probability distributions. Finally, we give some new applications of the process.

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Tse, K. (2014) Some Applications of the Poisson Process. Applied Mathematics, 5, 3011-3017. doi: 10.4236/am.2014.519288.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Taylor, H.M. and Karlin, S. (1998) An Introduction to Stochastic Modeling. Academic Press, Waltham.
[2] Ross, S.M. (1993) Introduction to Probability Models. 5th Edition, Academic Press, Waltham.
[3] Penrose, M.D. (2000) Central Limit Theorems for k-Nearest Neighbor Distances. Stochastic Processes and their Applications, 85, 295-320.
http://dx.doi.org/10.1016/S0304-4149(99)00080-0

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