In: Statistics and Probability
Poisson Distribution
This is often known as the distribution of rare events. Firstly, a
Poisson process is
where DISCRETE events occur in a CONTINUOUS, but finite interval of
time or
space. The following conditions must apply:
> For a small interval the probability of the event occurring is
proportional to the size
of the interval.
>The probability of more than one occurrence in the small
interval is negligible (i.e.
they are rare events). Events must not occur simultaneously
> Each occurrence must be independent of others and must be at
random.
> The events are often defects, accidents or unusual natural
happenings, such as
earthquakes, where in theory there is no upper limit on the number
of events. The interval is on some continuous measurements such as
lenght time or area.