Filtering and fixed-point smoothing from an innovation approach in systems with uncertainty.
R. Caballero, A. Hermoso, J. Jiménez, J. Linares (2003)
Extracta Mathematicae
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R. Caballero, A. Hermoso, J. Jiménez, J. Linares (2003)
Extracta Mathematicae
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R. Baekeland, Robert Lowen (1995)
Commentationes Mathematicae Universitatis Carolinae
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We investigate whether in the setting of approach spaces there exist measures of relative compactness, (relative) sequential compactness and (relative) countable compactness in the same vein as Kuratowski's measure of compactness. The answer is yes. Not only can we prove that such measures exist, but we can give usable formulas for them and we can prove that they behave nicely with respect to each other in the same way as the classical notions.
Massimo Tinto (1997)
Banach Center Publications
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We discuss spacecraft Doppler tracking for detecting gravitational waves in which Doppler data recorded on the ground are linearly combined with Doppler measurements made on board a spacecraft. By using the four-link radio system first proposed by Vessot and Levine [1] we derive a new method for removing from the combined data the frequency fluctuations due to the Earth troposphere, ionosphere, and mechanical vibrations of the antenna on the ground. This method also reduces the frequency...
Tomáš Hanzák, Tomáš Cipra (2011)
Kybernetika
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Recursive time series methods are very popular due to their numerical simplicity. Their theoretical background is usually based on Kalman filtering in state space models (mostly in dynamic linear systems). However, in time series practice one must face frequently to outlying values (outliers), which require applying special methods of robust statistics. In the paper a simple robustification of Kalman filter is suggested using a simple truncation of the recursive residuals. Then this...
Anabela Marques, Ana Sousa Ferreira, Margarida G.M.S. Cardoso (2013)
Biometrical Letters
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In Discrete Discriminant Analysis one often has to deal with dimensionality problems. In fact, even a moderate number of explanatory variables leads to an enormous number of possible states (outcomes) when compared to the number of objects under study, as occurs particularly in the social sciences, humanities and health-related elds. As a consequence, classi cation or discriminant models may exhibit poor performance due to the large number of parameters to be estimated. In the present...
Yoshihiro Abe (2000)
Fundamenta Mathematicae
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We explore the possibility of forcing nonreflecting stationary sets of . We also present a generalization of Kanamori’s weakly normal filters, which induces stationary reflection.