Doob's MartingaleCovers the concept of Doob's martingale and its properties, including integrability and convergence theorem.
Optional Stopping TheoremExplores stopping times, the optional stopping theorem, F-measurable random variables, and martingales.
Martingale ConvergenceExplores martingale convergence, discussing the conditions for convergence and variance in martingales.
Continuous Time Markov ChainsCovers the basic theory for continuous time Markov chains and discusses communication, hitting probabilities, recurrence, and transience.
Generalization of MartingalesExplores the generalization of Martingale Central Limit Theorem to sub- and supermartingales, discussing key properties and corollaries.
