A Bayes Formula for Nonlinear Filtering with Gaussian and Cox Noise

A Bayes-type formula is derived for the nonlinear filter where the observation contains both general Gaussian noise as well as Cox noise whose jump intensity depends on the signal. This formula extends the well-known Kallianpur-Striebel formula in the classical non-linear filter setting. We also dis...

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Bibliographic Details
Main Authors: Vidyadhar Mandrekar, Thilo Meyer-Brandis, Frank Proske
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2011/259091
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