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.
CITATION STYLE
Yu, B. (1997). Assouad, Fano, and Le Cam. In Festschrift for Lucien Le Cam (pp. 423–435). Springer New York. https://doi.org/10.1007/978-1-4612-1880-7_29
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