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Coupling and Maximal Inequalities for Graph-Dependent Empirical Processes

math.PR · 2026-06-30 · unverdicted · novelty 7.0

Derives maximal inequalities and Glivenko-Cantelli results for graph-dependent empirical processes showing that convergence rates are jointly determined by function-class complexity, graph geometry, and dependence decay rather than always following a generic root-n rate.

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  • Coupling and Maximal Inequalities for Graph-Dependent Empirical Processes math.PR · 2026-06-30 · unverdicted · none · ref 16

    Derives maximal inequalities and Glivenko-Cantelli results for graph-dependent empirical processes showing that convergence rates are jointly determined by function-class complexity, graph geometry, and dependence decay rather than always following a generic root-n rate.