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- If we have two experiments that are independent but depend on
the same theoretical parameter
. Then

- and clearly the combined likelihood is

- This final L is correct expression of results of both
experiments.
- i.e., one should multiply likelihoods when combining
experiments.
- We will now apply this to case when each
is Gaussian in
theoretical parameter
.
Geoffrey Fox, Northeast Parallel Architectures Center at Syracuse University, gcf@npac.syr.edu