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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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Lecture Notes in Statisticshttp://image.papertrans.cn/n/image/667825.jpg
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Sharp Asymptotics. II,ich corresponds to Hilbert structure introduced in Section 3.3.3. To obtain the duality we study the minimax properties of tests based on the approximation of log-likelihood statistics for product priors with two-or three-point factors jointly with thresholding.
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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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978-0-387-95531-5Springer Science+Business Media New York 2003
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Nonparametric Goodness-of-Fit Testing Under Gaussian Models978-0-387-21580-8Series ISSN 0930-0325 Series E-ISSN 2197-7186
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0930-0325 Overview: 978-0-387-95531-5978-0-387-21580-8Series ISSN 0930-0325 Series E-ISSN 2197-7186
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