Optional Stopping Theorem

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Stochastic Processes: Symmetric Random Walk

Covers the properties of the symmetric random walk in stochastic processes.

Martingale Transforms

Explores martingale transforms, their adaptability to filtrations, interpretation, and application in predicting future outcomes.

Probability Distributions in Environmental Studies

Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.

Martingale Convergence

Explores martingale convergence, discussing the conditions for convergence and variance in martingales.

Doob's Martingale

Covers the concept of Doob's martingale and its properties, including integrability and convergence theorem.

Generalization of Martingales: Sub- & Supermartingales

Explores the generalization of martingales to sub- and supermartingales with a focus on convergence properties.

Probability and Statistics

Delves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.

Martingale Convergence Theorem

Explains the martingale convergence theorem and its applications in probability theory.

Probability and Stochastic Processes: Fundamentals and Applications

Discusses the fundamentals of probability and stochastic processes, focusing on random variables, their properties, and applications in statistical signal processing.

Generalizations to Sub- & Supermartingales

Covers the generalizations of sub- & supermartingales and the existence of random variables.