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What is Discrete-Time Martingales Explained about?
This document covers discrete-time martingales and semimartingales, defining key concepts such as martingales, supermartingales, and submartingales within a filtered probability space. It discusses the tower property of conditional expectations, provides examples, and introduces stopping times and the Optional Stopping Theorem. Additionally, it presents the Doob Decomposition and the relationship between martingales and convex transformations.
- Author
- Mikael Spence
- Language
- EN