Johnstone, Iain Murray2017-11-032017-11-031978b1219933http://hdl.handle.net/1885/133107This thesis considers three essentially distinct problems in limit theory for stochastic processes, although the theme of martingale central limit theory lurks constantly in the background, and is briefly discussed in Section 2.1. The three chapters therefore have separate bibliographies and may be read independently of one another.1 venLimit theorems (Probability theory)Martingales (Mathematics)Stochastic processesProblems in limit theory for martingales and posterior distributions from stochastic processes197810.25911/5d723c31b9a052017-10-17