Poisson Process

A Poisson process is a process satisfying the following properties:

1. The numbers of changes in nonoverlapping intervals are independent for all intervals.

2. The probability of exactly one change in a sufficiently small interval h=1/n is P=nuh=nu/n, where nu is the probability of one change and n is the number of trials.

3. The probability of two or more changes in a sufficiently small interval h is essentially 0.

In the limit of the number of trials becoming large, the resulting distribution is called a Poisson distribution.

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