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An introduction to stochastic filtering theory / Jie Xiong.

By: Material type: TextTextSeries: Oxford graduate texts in mathematics ; 18. | Oxford mathematicsPublication details: Oxford, UK : Oxford University Press, 2008.Description: 1 online resource (xiii, 270 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 0191551392
  • 9780199219704
  • 0199219702
  • 9780191551390
  • 0191551392
Subject(s): Genre/Form: Additional physical formats: Print version:: Introduction to stochastic filtering theory.DDC classification:
  • 519.2/3 22 22
LOC classification:
  • QA274 .X56 2008eb
Online resources:
Contents:
Contents; 1 Introduction; 2 Brownian motion and martingales; 3 Stochastic integrals and Itô's formula; 4 Stochastic differential equations; 5 Filtering model and Kallianpur-Striebel formula; 6 Uniqueness of the solution for Zakai's equation; 7 Uniqueness of the solution for the filtering equation; 8 Numerical methods; 9 Linear filtering; 10 Stability of non-linear filtering; 11 Singular filtering; Bibliography; List of Notations; Index.
Summary: Stochastic filtering theory is a field that has seen a rapid development in recent years and this book, aimed at graduates and researchers in applied mathematics, provides an accessible introduction covering recent developments. - ;Stochastic Filtering Theory uses probability tools to estimate unobservable stochastic processes that arise in many applied fields including communication, target-tracking, and mathematical finance. As a topic, Stochastic Filtering Theory has progressed rapidly in recent years. For example, the (branching) particle system representation of the optimal filter has bee.
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Includes bibliographical references and index.

Print version record.

Contents; 1 Introduction; 2 Brownian motion and martingales; 3 Stochastic integrals and Itô's formula; 4 Stochastic differential equations; 5 Filtering model and Kallianpur-Striebel formula; 6 Uniqueness of the solution for Zakai's equation; 7 Uniqueness of the solution for the filtering equation; 8 Numerical methods; 9 Linear filtering; 10 Stability of non-linear filtering; 11 Singular filtering; Bibliography; List of Notations; Index.

Stochastic filtering theory is a field that has seen a rapid development in recent years and this book, aimed at graduates and researchers in applied mathematics, provides an accessible introduction covering recent developments. - ;Stochastic Filtering Theory uses probability tools to estimate unobservable stochastic processes that arise in many applied fields including communication, target-tracking, and mathematical finance. As a topic, Stochastic Filtering Theory has progressed rapidly in recent years. For example, the (branching) particle system representation of the optimal filter has bee.

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