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Challenging the empirical mean and empirical variance: A deviation study

2 Pith papers cite this work, alongside 279 external citations. Polarity classification is still indexing.

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The Exact Worst-Case Tail Probability under Bounded Kurtosis

math.PR · 2026-07-06 · accept · novelty 8.0

For mean-zero unit-variance random variables with fourth moment at most κ, the sharp one-sided tail V₁(t,κ) is completely mapped into four explicit regimes, with matching certificates and a proof-degree phase transition.

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