Dependence and the martingale theory. Markov chains and their stationary distributions. MATH 601 recommended. 3 Random walks, Poisson, Gaussian, and diffusion processes. Markov processes and point processes.
Renewal processes, the renewal theory and super-position of renewal processes.
Branching processes and stationary processes. Sequential probability ratio tests. Operating characteristic and average sample size. Efficiency of sequential testing. Extensions of the probability ratio tests.