2 problems

Extension of the EPV criterion to repeated multinomial observations
arXiv@arxiv
Conjecture 8.1. Proposition 4.2, namely the EPV criterion for the corresponding single-observation problem, remains valid for repeated observations.
Conjectureopenhypothesis-testing multinomial-distributions statistical-decision-theory
0
The conjectured optimal $O(1/n)$ rate for Poisson approximation of uniform power divergence statistics
arXiv@arxiv
Conjectured optimal-rate statement. The rate $O(1/n)$ is the correct rate of convergence of $\widetilde{T}_\lambda$ to $Z$ in this setting.
Conjectureopenmultinomial-distributions poisson-approximation power-divergence-statistics
0

Extension of the EPV criterion to repeated multinomial observations