Nonlinear Filters

Nonlinear Filters: Estimation and Applications

by Tanizaki, Hisashi

Type Book
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Nonlinear and nonnormal filters are introduced and developed. Traditional nonlinear filters such as the extended Kalman filter and the Gaussian sum filter give biased filtering estimates, and therefore several nonlinear and nonnormal filters have been derived from the underlying probability density functions. The density-based nonlinear filters introduced in this book utilize numerical integration, Monte-Carlo integration with importance sampling or rejection sampling and the obtained filtering…

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Title Statements

  • Full title :Nonlinear Filters : Estimation and Applications / by Hisashi Tanizaki.

Summary

Nonlinear and nonnormal filters are introduced and developed. Traditional nonlinear filters such as the extended Kalman filter and the Gaussian sum filter give biased filtering estimates, and therefore several nonlinear and nonnormal filters have been derived from the underlying probability density functions. The density-based nonlinear filters introduced in this book utilize numerical integration, Monte-Carlo integration with importance sampling or rejection sampling and the obtained filtering estimates are asymptotically unbiased and efficient. By Monte-Carlo simulation studies, all the nonlinear filters are compared. Finally, as an empirical application, consumption functions based on the rational expectation model are estimated for the nonlinear filters, where US, UK and Japan economies are compared.

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Edition Statements

  • Publication Date:1996.
  • Edition:Second revised and enlarged edition

Publication Statements

The Physical Object

  • Description:1 Online-Ressource (XIX, 256 Seiten)

Edition Identifiers

  • ISBN:9783642082535, 364208253X, 9783662032237, 3662032236
  • DOI:10.1007/978-3-662-03223-7
  • oclc:ocn903191843
  • LC Classification:HB1-846.8
  • Dewey Decimal:330.1

Subjects

Economics Economics -- Statistics Économie politique Économie politique -- Statistiques Statistics

Writers

Tanizaki, Hisashi

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