Assouad, Fano, and Le Cam

Bin Yu
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Bin Yu: University of California at Berkeley

Chapter 29 in Festschrift for Lucien Le Cam, 1997, pp 423-435 from Springer

Abstract: Abstract This note explores the connections and differences between three commonly used methods for constructing minimax lower bounds in nonparametric estimation problems: Le Cam’s, Assouad’s and Fano’s. Two connections are established between Le Cam’s and Assouad’s and between Assouad’s and Fano’s. The three methods are then compared in the context of two estimation problems for a smooth class of densities on [0,1]. The two estimation problems are for the integrated squared first derivatives and for the density function itself.

Keywords: Convex Hull; Optimal Rate; Minimax Rate; Smooth Class; Fano Inequality (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-1880-7_29

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DOI: 10.1007/978-1-4612-1880-7_29

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