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Lecture

Generalization of Martingales: Sub- & Supermartingales

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Introduces the martingale convergence theorem and demonstrates its application with examples.

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

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Explores the convergence of random variables, the law of large numbers, and the distribution of failure time.

Covers random variables, sample spaces, probability distributions, functions, expected value, variance, and estimations.