Note
Let denote the time from until the first event occurs, then we have , i.e., .
Thus we have
We are already aware that , which denotes that in the time interval the event occurs number of times. Thus diagrammatically it is as follows which is illustrated in Figure 2.5.
Figure 2.5 : The notational concept of time , and the number of events within each time intervals (which is denoted using colour scheme for ease of understanding)
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