Linear minimax efficiency of local polynomial regression smoothers at boundary point
by Chow Kong Fai
THESIS
2001
M.Phil. Mathematics
vii, 37 leaves ; 30 cm
Abstract
Fan and Gijbels conjectured that the local polynomial estimator achieve the minimax risk at the boundary point. This paper proves their conjecture that the local polynomial regression smoothers achieve the linear minimax efficiency at the boundary point over an ideal class of functions.
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