Probability · Jul 21, 2026

Strong log-concavity of the Chernoff density

A proof is reported in a July preprint.

Scope and what remains

Ordinary log-concavity was already known. Balabdaoui–Wellner and Chernoff-density entries in the survey refer to this same problem.

Contributors

Xianyang Zhang and Quan Zhou; the paper attributes its proof to GPT-5.6 Sol.

AI systems: GPT-5.6 Sol

Sources