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Stable and Efficient Cubature-based Filtering in Dynamical Systems

  • Dominik¬†Ballreich

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Dominik Ballreich
    Pages 1-4
  3. Dominik Ballreich
    Pages 5-45
  4. Dominik Ballreich
    Pages 47-91
  5. Dominik Ballreich
    Pages 93-108
  6. Dominik Ballreich
    Pages 109-134
  7. Dominik Ballreich
    Pages 135-138
  8. Back Matter
    Pages 139-160

About this book

Introduction

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.

Keywords

Kalman filter Recursive Bayesian estimation State-space models Smolyak cubature Numerical integration Cubature Kalman filter Maximum Likelihood estimation Deterministic numerical integration Univariate non-stationary growth model Six-dimentional coordinated turn model Lorenz model Ginzburg-Landau model Optimization and stabilization of cubature rules Smolyak cubature rules with an approximate degree of exactness Filtering in dynamical systems

Authors and affiliations

  • Dominik¬†Ballreich
    • 1
  1. 1.University of HagenHagenGermany

Bibliographic information