Nearest-neighbor radii converge almost surely and obey local-dimension moment bounds under polynomial and geometric mixing dependence.
A distribution-free theory of nonparametric regression , year =
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Quantile total variation denoising admits an exact minmax characterization of its fitted values as compact intervals whose endpoints are given by minmax functionals of local order statistics.
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Nearest-Neighbor Radii under Dependent Sampling
Nearest-neighbor radii converge almost surely and obey local-dimension moment bounds under polynomial and geometric mixing dependence.
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An Exact Pointwise Characterization for Total Variation Denoising in Quantile Regression
Quantile total variation denoising admits an exact minmax characterization of its fitted values as compact intervals whose endpoints are given by minmax functionals of local order statistics.