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What is a Martingale?
Examples
Martingale has Uncorrelated Increments
Standard Way to Obtain Results
Barrier Crossing
Idea: Martingales of the Form
Ruin Theory
Idea: Martingales of the Form
The Expected Present Value of 1
First Passage at a Higher Level
Conditional Martingale
Conditional Backward Martingale
Gambler's Ruin - Quiz

Arnold F. Shapiro