1.

Record Nr.

UNINA9910254301303321

Autore

Ballreich Dominik

Titolo

Stable and efficient cubature-based filtering in dynamical systems / / by Dominik Ballreich

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017

ISBN

3-319-62130-0

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XVII, 160 p. 19 illus., 14 illus. in color.)

Disciplina

515.624

Soggetti

Statistics

Econometrics

Computer science - Mathematics

Vibration

Dynamics

Statistical physics

Statistics for Business, Management, Economics, Finance, Insurance

Computational Mathematics and Numerical Analysis

Vibration, Dynamical Systems, Control

Statistical Physics and Dynamical Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Introduction -- Filtering in Dynamical Systems -- Deterministic Numerical Integration -- Optimization and Stabilization of Cubature Rules -- Simulation Studies -- Results -- Appendices -- Index -- Bibliography.

Sommario/riassunto

The book addresses the problem of calculation of d-dimensional integrals (conditional expectations) in filter problems. It develops new methods of deterministic numerical integration, which can be used to speed up and stabilize filter algorithms. With the help of these methods, better estimates and predictions of latent variables are made possible in the fields of economics, engineering and physics. The resulting procedures are tested within four detailed simulation studies.