Derives |κ_n(X)| ≤ C_n M_n(X) with C_n ~ (n-1)! / ρ^n (ρ ≥ ln 2) via moment-cumulant partitions and product inequalities, improving on prior n^n-type bounds.
The method of cumulants for the normal approxi- mation
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Explicit Universal Bounds for Cumulants via Moments
Derives |κ_n(X)| ≤ C_n M_n(X) with C_n ~ (n-1)! / ρ^n (ρ ≥ ln 2) via moment-cumulant partitions and product inequalities, improving on prior n^n-type bounds.