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The Asymptotic Minimax Constant for Sup-Norm Loss in Nonparametric Density Estimation
Density estimation exact constant optimal recovery uniform norm risk white noise
2015/8/25
We develop the exact constant of the risk asymptotics in the uniform norm for density estimation. This constant has first been found for nonparametric regression and for signal estimation in Gaussian ...
Haar system and nonparametric density estimation in several variables
Haar system nonparametric density estimation several variables
2009/9/23
Partial sums of the Fourier-Haar expansion in several
variables are used to esstimate on cubes a probability density
satisfying some Lipschitz conditions.