Some Applications of the Poisson Process

Read full paper at:
http://www.scirp.org/journal/PaperInformation.aspx?PaperID=51236#.VGAYaWfHRK0

Author(s)

Kung-Kuen Tse

Affiliation(s)

Department of Mathematics, Kean University, Union, USA.

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.

KEYWORDS

Poisson Processes, Gamma Distribution, Inter-Arrival Time, Marked Poisson Processes

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           eww141110lx