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Majorizing measures: the generic chaining.Ann

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Failure of Convex-Hull Bounds under Log-Convex Tails

math.FA · 2026-07-01 · unverdicted · novelty 7.0

No universal constant exists allowing convex-hull bounds with controlled L_log norms for the difference set of arbitrary finite T under symmetric Weibull(r) processes when 0<r<1.

Optimal Estimating Equations for Compact-Memory Hawkes Processes

math.ST · 2026-06-22 · unverdicted · novelty 6.0

Compensator-based estimating equations unify several moment methods for compact-memory multivariate Hawkes processes, delivering uniform high-probability O(sqrt(log T / T)) rates, asymptotic normality, and exact efficiency-loss quantification relative to the likelihood score.

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  • Failure of Convex-Hull Bounds under Log-Convex Tails math.FA · 2026-07-01 · unverdicted · none · ref 11

    No universal constant exists allowing convex-hull bounds with controlled L_log norms for the difference set of arbitrary finite T under symmetric Weibull(r) processes when 0<r<1.

  • Optimal Estimating Equations for Compact-Memory Hawkes Processes math.ST · 2026-06-22 · unverdicted · none · ref 73

    Compensator-based estimating equations unify several moment methods for compact-memory multivariate Hawkes processes, delivering uniform high-probability O(sqrt(log T / T)) rates, asymptotic normality, and exact efficiency-loss quantification relative to the likelihood score.