TY - BOOK AU - Xiong,Jie TI - An introduction to stochastic filtering theory T2 - Oxford graduate texts in mathematics SN - 0191551392 AV - QA274 .X56 2008eb U1 - 519.2/3 22 22 PY - 2008/// CY - Oxford, UK PB - Oxford University Press KW - Stochastic processes KW - Filters (Mathematics) KW - Prediction theory KW - Stochastic Processes KW - Processus stochastiques KW - Filtres (Mathématiques) KW - Théorie de la prévision KW - MATHEMATICS KW - Probability & Statistics KW - bisacsh KW - fast KW - Electronic books N1 - Includes bibliographical references and index; 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 N2 - 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 UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=259511 ER -