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Recursive Nonlinear Estimation
A Geometric Approach
Taschenbuch von Rudolph Kulhavy
Sprache: Englisch

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Beschreibung
In a close analogy to matching data in Euclidean space, this monograph views parameter estimation as matching of the empirical distribution of data with a model-based distribution. Using an appealing Pythagorean-like geometry of the empirical and model distributions, the book brings a new solution to the problem of recursive estimation of non-Gaussian and nonlinear models which can be regarded as a specific approximation of Bayesian estimation. The cases of independent observations and controlled dynamic systems are considered in parallel; the former case giving initial insight into the latter case which is of primary interest to the control community. A number of examples illustrate the key concepts and tools used. This unique monograph follows some previous results on the Pythagorean theory of estimation in the literature (e.g., Chentsov, Csiszar and Amari) but extends the results to the case of controlled dynamic systems.
In a close analogy to matching data in Euclidean space, this monograph views parameter estimation as matching of the empirical distribution of data with a model-based distribution. Using an appealing Pythagorean-like geometry of the empirical and model distributions, the book brings a new solution to the problem of recursive estimation of non-Gaussian and nonlinear models which can be regarded as a specific approximation of Bayesian estimation. The cases of independent observations and controlled dynamic systems are considered in parallel; the former case giving initial insight into the latter case which is of primary interest to the control community. A number of examples illustrate the key concepts and tools used. This unique monograph follows some previous results on the Pythagorean theory of estimation in the literature (e.g., Chentsov, Csiszar and Amari) but extends the results to the case of controlled dynamic systems.
Inhaltsverzeichnis
Inference under constraints.- From matching data to matching probabilities.- Optimal estimation with compressed data.- Approximate estimation with compressed data.- Numerical implementation.- Concluding remarks.- Selected topics from probability theory.- Selected topics from convex optimization.
Details
Erscheinungsjahr: 1996
Genre: Informatik, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xvi
227 S.
17 s/w Illustr.
227 p. 17 illus.
ISBN-13: 9783540760634
ISBN-10: 3540760636
Sprache: Englisch
Herstellernummer: 10135653
Einband: Kartoniert / Broschiert
Autor: Kulhavy, Rudolph
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 14 mm
Von/Mit: Rudolph Kulhavy
Erscheinungsdatum: 25.06.1996
Gewicht: 0,376 kg
Artikel-ID: 101011509
Inhaltsverzeichnis
Inference under constraints.- From matching data to matching probabilities.- Optimal estimation with compressed data.- Approximate estimation with compressed data.- Numerical implementation.- Concluding remarks.- Selected topics from probability theory.- Selected topics from convex optimization.
Details
Erscheinungsjahr: 1996
Genre: Informatik, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xvi
227 S.
17 s/w Illustr.
227 p. 17 illus.
ISBN-13: 9783540760634
ISBN-10: 3540760636
Sprache: Englisch
Herstellernummer: 10135653
Einband: Kartoniert / Broschiert
Autor: Kulhavy, Rudolph
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 14 mm
Von/Mit: Rudolph Kulhavy
Erscheinungsdatum: 25.06.1996
Gewicht: 0,376 kg
Artikel-ID: 101011509
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