Counting process
A stochastic process {N(t), t≥0} is called a counting process if it possesses the following properties:
- N(t)≥ 0.
- N(t) has to be an integer.
- if s<t then N(s)≤ N(t).
- Assuming s<t, N(t)-N(s) is the number of events occurred during the interval(s,t].
References
Ross, S.M. (1995) Stochastic Processes. Wiley. ISBN 978-0471120629
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