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• W2127991572 abstract "We establish upper and lower bounds for the metric entropy and bracketing entropy of the class of d-dimensional bounded monotonic functions under Lp norms. It is interesting to see that both the metric entropy and bracketing entropy have different behaviors for p<d/(d-1) and p>d/(d-1). We apply the new bounds for bracketing entropy to establish a global rate of convergence of the MLE of a d-dimensional monotone density." @default.
• W2127991572 created "2016-06-24" @default.
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• W2127991572 date "2007-10-01" @default.
• W2127991572 modified "2023-10-10" @default.
• W2127991572 title "Entropy estimate for high-dimensional monotonic functions" @default.
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• W2127991572 doi "https://doi.org/10.1016/j.jmva.2006.09.003" @default.
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