1997 | OriginalPaper | Chapter
Assouad, Fano, and Le Cam
Author : Bin Yu
Published in: Festschrift for Lucien Le Cam
Publisher: Springer New York
Included in: Professional Book Archive
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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.