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Concentration inequalities for vector-valued martingales

Tomas Juškevičius, Matas Šileikis

Source record

Source: arXiv

Published: Oct 22, 2026

arXiv: 2610.31449

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Source abstract

In this paper, we establish several deviation inequalities for the norms of vector-valued martingales, achieving bounds of the same quality as those available in the classical one-dimensional setting. Our results extend and refine previous work by Pinelis (1994) and Hayes (2005) in this area.

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Concentration inequalities for vector-valued martingales — Mathematical Frontier Network