Question: The Poisson process is a continuous-time stochastic process , counting the number of events that have occurred in the time interval .A sample path is

The Poisson process is a continuous-time stochastic process N(t) , counting the number of events that have occurred in the time interval image text in transcribed .A sample path is illustrated in Fig. 11.2, and it is important to understand the underlying dynamics:

- The process starts at the initial state image text in transcribed .

-After a random time image text in transcribed , the first event occurs, and the state of the system jumps to =1

image text in transcribed

Data From Figure 11.2

image text in transcribed

N(t)

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