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- Let
-
is Poisson with mean
- N is Poisson with mean
-
is
.
- As for fixed N, y is Poisson with mean
, we find

- More generally, we could give
a non-Poisson distribution.
One example of non-Poisson
, is:
- The physics of charged particle ionization---p.53 EDJRS
Geoffrey Fox, Northeast Parallel Architectures Center at Syracuse University, gcf@npac.syr.edu