Titlebook: Nonparametric Goodness-of-Fit Testing Under Gaussian Models; Yu. I. Ingster,Irina A. Suslina Book 2003 Springer Science+Business Media New

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Gaussian Asymptotics for Power and Besov Norms,(3.110), (3.122)); we denote, . = (.), . = (.). We consider the general cases . for the rate asymptotics problem and add some additional constraints on ., . for the sharp asymptotics problem. We assume the nonempty conditions from Corollary 3.15 and we suppose . → ∞, . → ∞.

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Nonparametric Goodness-of-Fit Testing Under Gaussian Models

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High-Dimensional Signal Detection,In this chapter we would like to demonstrate some new phenomena in minimax nonparametric hypothesis testing problems.