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What is Baum-Katz-Nagaev Theorem for Martingales about?

This document presents a Baum–Katz–Nagaev type theorem for bounded martingale difference sequences with more than a second moment, demonstrating that the Hsu–Robbins–Erdős theorem does not hold for martingales. The paper establishes conditions under which a series related to the law of large numbers converges or diverges for martingale difference sequences. Key results include the necessity of having more than a second moment for convergence and examples of sequences where divergence occurs.

Author

nhhieu151094

Language

EN