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Titlebook: Smoothing Techniques for Curve Estimation; Proceedings of a Wor Th. Gasser,M. Rosenblatt Conference proceedings 1979 Springer-Verlag Berlin

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书目名称Smoothing Techniques for Curve Estimation
副标题Proceedings of a Wor
编辑Th. Gasser,M. Rosenblatt
视频video
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Smoothing Techniques for Curve Estimation; Proceedings of a Wor Th. Gasser,M. Rosenblatt Conference proceedings 1979 Springer-Verlag Berlin
出版日期Conference proceedings 1979
关键词Glättung; Kurvenanpassung; Schätzung; Statistica; behavior; convergence; data model; data modelling; derivat
版次1
doihttps://doi.org/10.1007/BFb0098486
isbn_softcover978-3-540-09706-8
isbn_ebook978-3-540-38475-5Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1979
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Optimal convergence properties of kernel estimates of derivatives of a density function,ence of the local and of the integrated mean square error (MSE and IMSE), by restricting us to kernels with compact support. Optimal kernel functions for estimating the first three derivatives are given. Adopting a technique developed by Farrel (1972) and Wahba (1975), we obtain the optimal rate of
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Convergence rates of "thin plate" smoothing splines wihen the data are noisy,d, bounded subset Ω of Euclidean d-space and the ε. are random variables satisfying Eε.=0, Eε.ε.=σ., i=j, =0, i≠j, t.εΩ. The z. are observed. It is desired to estimate u, given z., ..., z.. u is only assumed to be "smooth", more precisely we assume that u is in the Sobolev space ..(Ω) of functions w
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Approximate conditional-mean type smoothers and interpolators,presented which lends support to the intuitive notion that the conditional density in question will be nearly Gaussian in a strong sense when the additive noise is nearly Gaussian in a comparatively weak sense. Approaches for implementing the robust smoothers and interpolators is discussed and an application to a real data set is presented.
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