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Stochastic Interpretation of Robust Estimation: Risk Sensitivity

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Book cover Robust Estimation and Failure Detection

Part of the book series: Advances in Industrial Control ((AIC))

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Abstract

The game theoretic robust estimation problem defined in Chapter 3 is a deterministic one. That is, all the input disturbances have deterministic bounds. Nevertheless, as was mentioned in Chapters 2 and 3, this class of problems is closely related to a class of stochastic estimation problems, namely, risk sensitive optimal estimation [99], [111], [112]. In risk sensitive estimation, the noise is assumed to be white, Gaussian, and the cost criterion is the expected value of the exponential of a weighted sum of the squared state estimation errors.

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© 1998 Springer-Verlag London Limited

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Mangoubi, R.S. (1998). Stochastic Interpretation of Robust Estimation: Risk Sensitivity. In: Robust Estimation and Failure Detection. Advances in Industrial Control. Springer, London. https://doi.org/10.1007/978-1-4471-1586-1_4

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  • DOI: https://doi.org/10.1007/978-1-4471-1586-1_4

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1588-5

  • Online ISBN: 978-1-4471-1586-1

  • eBook Packages: Springer Book Archive

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