Abstract
The introduction to stochastic processes begins with a relatively simply type of process called a Poisson process that is essentially a type of counting process. For example as mentioned in Chap. 1, Bortkiewicz found 1898 that the number of deaths due to horse kicks in the Prussian army could be described by a Poisson random variable. A model depicting the cumulative number of deaths over time in the Prussian army would thus be described as a Poisson process. This chapter gives the formal description of such processes and includes some common extensions.
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Feldman, R.M., Valdez-Flores, C. (2010). Poisson Processes. In: Applied Probability and Stochastic Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05158-6_4
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DOI: https://doi.org/10.1007/978-3-642-05158-6_4
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