3. Here is the ref to the Shiryayev text:
- Shirayev, AN.
Probability. Springer-Verlag, 1984
This is a very good basic non-measure-theoretic probability text book--
actually he does talk about a bit of measure theory, but it is not essential.
There is not so much on probability generating functions as I thought
-- I'll try to find a better reference for that.
4. Various Watterson papers distributed by Grace.
5. Kelly book for reversability -- Chapter 7 for Moran model results.