3 problems

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A prediction–estimation link under Kullback–Leibler risk with unknown variance
Prediction–estimation link conjecture. There exists a link between the prediction problem and the estimation problem in the unknown-variance case under Kullback–Leibler risk, analo…
Conjectureopendecision-theory predictive-density-estimation unknown-variance-modelsarXiv posted 2 days ago
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Inadmissibility of the best equivariant predictive density for intermediate sample sizes
Intermediate-sample-size inadmissibility conjecture. The best equivariant predictive density is inadmissible for every integer sample size satisfying
Conjectureopendecision-theory predictive-density-estimation unknown-variance-modelsarXiv posted 2 days ago
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Least favorable sparse two-point prior lower-bound conjecture for predictive density estimation
Sparse two-point prior lower-bound conjecture. For $\pi=\pi[\eta,\lambda_f]\in\mathfrak{m}(\eta)$ ,
Conjectureopenbayes-risk predictive-density-estimation sparse-estimationarXiv posted 2 days ago

A prediction–estimation link under Kullback–Leibler risk with unknown variance