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- The Poisson Limit is a very important special case of the binomial
distribution, and it describes anything from telephone calls to events
observed in particle physics.
- Take limit in
of 
and
such that 
remains finite.
- k is also fixed.
- Now
as
for fixed k. (You can also get this using
Stirling's formula for the gamma function).
- Also,
- which is the Poisson Distribution
of k events.
- Note:
as it should.
Geoffrey Fox, Northeast Parallel Architectures Center at Syracuse University, gcf@npac.syr.edu