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Optimal rates of entropy estimation over Lipschitz balls
Annals of Statistics ( IF 4.5 ) Pub Date : 2020-12-01 , DOI: 10.1214/19-aos1927 Yanjun Han , Jiantao Jiao , Tsachy Weissman , Yihong Wu
Annals of Statistics ( IF 4.5 ) Pub Date : 2020-12-01 , DOI: 10.1214/19-aos1927 Yanjun Han , Jiantao Jiao , Tsachy Weissman , Yihong Wu
We consider the problem of minimax estimation of the entropy of a density over Lipschitz balls. Dropping the usual assumption that the density is bounded away from zero, we obtain the minimax rates $(n\ln n)^{-\frac{s}{s+d}} + n^{-1/2}$ for $0
中文翻译:
Lipschitz 球上熵估计的最优速率
我们考虑了 Lipschitz 球上密度熵的极大极小估计问题。放弃密度远离零的通常假设,我们得到极大极小率 $(n\ln n)^{-\frac{s}{s+d}} + n^{-1/2}$ 0 美元
更新日期:2020-12-01
中文翻译:
Lipschitz 球上熵估计的最优速率
我们考虑了 Lipschitz 球上密度熵的极大极小估计问题。放弃密度远离零的通常假设,我们得到极大极小率 $(n\ln n)^{-\frac{s}{s+d}} + n^{-1/2}$ 0 美元