Next:
General Birth and
Up:
2: Feefoefum in
Previous:
Basic Birth Process
Basic Birth Process Formalism---II
Then, the probability of
k
events at time
t+dt
is
or
For
k=0
, the above is modified as
term doesn't exist, i.e.,
Solving the last gives
and then induction shows
and we have achieved Poisson again.
It is now obvious why any counting experiments for random events should have a Poisson Distribution.
Geoffrey Fox
,
Northeast Parallel Architectures Center
at Syracuse University,
gcf@npac.syr.edu
term doesn't exist,
i.e.,
and then
induction shows
