2 problems

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Han et al.'s conjecture on the tightness of the PML amplification factor
Let $F$ be a property of a distribution $p$ , let $p^{\mathrm{PML}}$ denote the profile maximum likelihood distribution, and suppose the PML error bound has amplification factor…
Conjectureopenadaptive-estimation profile-maximum-likelihood property-estimationarXiv posted 2 days ago
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Acharya–Canonne–Tyagi conjecture on the PML approach's accuracy range
Let $n$ be the sample size, let $\varepsilon$ denote the estimation accuracy, and let PML denote the profile maximum likelihood approach to adaptive property estimation. PML optima…
Conjectureopenadaptive-estimation profile-maximum-likelihood property-estimationarXiv posted 2 days ago

Han et al.'s conjecture on the tightness of the PML amplification factor