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Some Applications of the Poisson Process

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DOI: 10.4236/am.2014.519288    7,800 Downloads   9,234 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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

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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