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Bain / Crisan

Fundamentals of Stochastic Filtering

Medium: Buch
ISBN: 978-0-387-76895-3
Verlag: Springer
Erscheinungstermin: 23.10.2008
Lieferfrist: bis zu 10 Tage

The purpose of this book is to provide a rigorous mathematical treatment of the non-linear stochastic filtering problem using modern methods. Particular emphasis is placed on the theoretical analysis of numerical methods for the solution of the filtering problem via particle methods. The book should provide sufficient background to enable study of the recent literature. While no prior knowledge of stochastic filtering is required, readers are assumed to be familiar with measure theory, probability theory and the basics of stochastic processes. Most of the technical results that are required are stated and proved in the appendices. The book is intended as a reference for graduate students and researchers interested in the field. It is also suitable for use as a text for a graduate level course on stochastic filtering (suitable exercises and solutions are included).


Produkteigenschaften


  • Artikelnummer: 9780387768953
  • Medium: Buch
  • ISBN: 978-0-387-76895-3
  • Verlag: Springer
  • Erscheinungstermin: 23.10.2008
  • Sprache(n): Englisch
  • Auflage: 2009. Auflage 2008
  • Serie: Stochastic Modelling and Applied Probability
  • Produktform: Gebunden
  • Gewicht: 745 g
  • Seiten: 390
  • Format (B x H x T): 161 x 244 x 30 mm
  • Ausgabetyp: Kein, Unbekannt

Themen


Autoren/Hrsg.

Autoren

Filtering Theory.- The Stochastic Process ?.- The Filtering Equations.- Uniqueness of the Solution to the Zakai and the Kushner–Stratonovich Equations.- The Robust Representation Formula.- Finite-Dimensional Filters.- The Density of the Conditional Distribution of the Signal.- Numerical Algorithms.- Numerical Methods for Solving the Filtering Problem.- A Continuous Time Particle Filter.- Particle Filters in Discrete Time.