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Conjecture that the optimal rate depends on the parameter bounds $(L,U)$
Rate-dependence conjecture. The optimal rate depends on $(L,U)$ analogously to how the optimal rate depends on the problem parameters in the Gaussian case.
Conjectureopenempirical-bayes nonparametric-estimation poisson-mixturesarXiv posted 2 days ago
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Han's parametric-rate conjecture for Gaussian-smoothed Poisson-mixture NPMLEs
Consider the Poisson mixture model with unknown mixing distribution $Q$ supported on $[0,\theta_\ast]$ , and let $\hat Q_{\rm MLE}$ be its nonparametric maximum likelihood estimator…
Conjectureopennonparametric-estimation optimal-transport poisson-mixturesarXiv posted 2 days ago

Conjecture that the optimal rate depends on the parameter bounds (L,U)(L,U)(L,U)