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Adaptive confidence intervals for regression functions under shape constraints
Adaptation confidence interval convex function coverage probability expected length minimax estimation modulus of continuity monotone func-tion nonparametric regression shape constraint white noise model
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2013/6/14
Adaptive confidence intervals for regression functions are constructed under shape constraints of monotonicity and convexity. A natural benchmark is established for the minimum expected length of conf...
Multiscale Methods for Shape Constraints in Deconvolution
Brownian motion convexity di erential inequalities ill-posed problems
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2011/7/19
We derive multiscale statistics for deconvolution in order to detect qualitative features of the unknown density. An important example covered within this framework is to test for local monotonicity o...
Multiscale Methods for Shape Constraints in Deconvolution
Brownian motion convexity differential inequalities ill-posed problems mode detection monotonicity multiscale statistics
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2011/8/29
Abstract: We derive multiscale statistics for deconvolution in order to detect qualitative features of the unknown density. An important example covered within this framework is to test for local mono...