Estimating nonquadratic functionals of a density using Haar wavelets

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Chi-square oracle inequalities (2000, methodology): “Haar wavelets have been ingeniously used by Kerkyacharian and Picard (1996) in the context of estimating f f(2) and especially J / 3 .”
The Nearest Neighbor Information Estimator is Adaptively Near Minimax Rate-Optimal (2017, background): “We do not attempt to survey the extensive literature in this area, but instead refer to the interested reader to, e.g., [24, 5, 12, 16, 6, 32, 37, 47, 8, 9, 54] and the references therein.”
MINIMAX ESTIMATION OF A FUNCTIONAL ON A STRUCTURED (2016, background): “Our second order estimators are related to work on quadratic functionals, or functionals that are well approximated by quadratic functionals, as in [8, 12, 3, 4, 14, 15, 6, 7].”
Goodness-of-fit testing and quadratic functional estimation from indirect observations (2006, methodology): “The study of general functionals was completed by Kerkyacharian and Picard [19] for minimax rates and Tribouley [32] for adaptive estimation.”
On Estimating $L_2^2$ Divergence (2014, methodology): “Our estimator is based on a line of work studying the estimation of integral functionals of a density in the nonparametric setting [5, 10, 8, 3, 2].”