2 problems

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The uniqueness conjecture for the $s$ -concave MLE
Let $X_1,\ldots,X_n$ be i.i.d. observations with density $p_0=h_s\circ\varphi_0\in\mathcal{P}_s$ , and let $\widehat p_n=h_s(\widehat\varphi_n)$ be an $s$ -concave maximum likelihood…
Conjectureopenmaximum-likelihood-estimation s-concave-density-estimationarXiv posted 2 days ago
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The one-dimensional $s$ -concave MLE Hellinger-rate conjecture
Let $p_0=h_s\circ\varphi_0\in\mathcal{P}_s$ be the density of an i.i.d. one-dimensional sample, and let $\widehat p_n=h_s(\widehat\varphi_n)$ be its $s$ -concave maximum likelihood…
Conjectureopenhellinger-distance maximum-likelihood-estimation s-concave-density-estimationarXiv posted 2 days ago

The uniqueness conjecture for the sss-concave MLE