Robust time series analysis: a survey
Norbert Stockinger, Rudolf Dutter (1987)
Kybernetika
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Norbert Stockinger, Rudolf Dutter (1987)
Kybernetika
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Zheng, Wei Xing (2003)
Mathematical Problems in Engineering
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Witkovský, V. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Zheng, Wei Xing (2001)
Mathematical Problems in Engineering
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Théo Gasser (1989)
Statistique et analyse des données
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Rafail Khasminskii (2004)
SORT
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A survey of some recent results on nonparametric on-line estimation is presented. The first result deals with an on-line estimation for a smooth signal S(t) in the classic 'signal plus Gaussian white noise' model. Then an analogous on-line estimator for the regression estimation problem with equidistant design is described and justified. Finally some preliminary results related to the on-line estimation for the diffusion observed process are described.
Plataniotis, K.N., Lainiotis, D.G. (1996)
Mathematical Problems in Engineering
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Mikhail Ermakov (2008)
ESAIM: Probability and Statistics
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We consider a deconvolution problem of estimating a signal blurred with a random noise. The noise is assumed to be a stationary Gaussian process multiplied by a weight function function where and is a small parameter. The underlying solution is assumed to be infinitely differentiable. For this model we find asymptotically minimax and Bayes estimators. In the case of solutions having finite number of derivatives similar results were obtained in [G.K. Golubev and R.Z. Khasminskii,...