Math 230B / Stat 310B – Theory of Probability

Fundamentals of discrete-time stochastic processes. Topics include:

• Conditional expectation and conditional probabilities;

• Discrete time martingales and stopping times :maximal inequalites, martingale convergence, reverse martingales, applications;

• Markov Chains: general construction, strong Markov property, countable state spaces (classification of states, recurrence, invariant measures, reversibility).

Representation of a martingale according to a betting website. Is this accurate?

Class Times and Locations

• Tuesday and Thursday, 1:30-2:50PM

• Building 200, Room 305

• There will be occasional sessions on Friday 1:30-3:00pm (Sequoia 200)

• TAs will use an Ed forum for queries