This course provides theoretical and axiomatic foundations of probability and mathematical statistics, and is intended for PhD students in the Statistics department. In particular, the following ...

Kazuo Kido, Strong Convergence of Resolvents of Monotone Operators in Banach Spaces, Proceedings of the American Mathematical Society, Vol. 103, No. 3 (Jul., 1988), pp. 755-758 ...

4. Monotone convergence theorem; Fatou's lemmas; dominated convergence theorem. 5. Expectation; L^p spaces; uniform integrability. 6. Characteristic functions; Levy inversion formula; Levy convergence ...