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On Approximations for Stochastic Filtering with an Application to Reliability

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Quantitative Methoden in den Wirtschaftswissenschaften

Abstract

We describe a rather general approximation procedure to solve stochastic filtering problems, that can be applied to a variety of situations. As an example, we outline its application to a problem from reliability practice showing at the same time that also such problems can be formulated quite naturally as filtering problems.

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References

  1. Brémaud P (1981) Point processes and queues, Martingale dynamics. Springer, New York

    Google Scholar 

  2. Clarotti CA, Koch G, Spizzichino F (1985) Bayes inference from failure data contaminated due to maintenance. IEEE Transactions on Reliability 34: 377–381

    Article  Google Scholar 

  3. Clarotti CA, Pugno GF, Runggaldier WJ (1989) Statistical reliability practice from sampling theory to stochastic filtering. To appear in Reliability Engineering and System Safety

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  4. Di Masi GB, Runggaldier WJ (1981) Continuous time approximations for the nonlinear filtering problem. Appl Math Optimiz 7: 233–245

    Article  Google Scholar 

  5. Di Masi GB, Runggaldier WJ (1982) On approximation methods for nonlinear filtering. In: Lecture Notes in mathematics, vol 972. Springer

    Google Scholar 

  6. Di Masi GB, Runggaldier WJ (1987) An approach to discrete-time stochastic control problems under partial observation. SIAM J Control and Optimization 25: 38–48

    Article  Google Scholar 

  7. Jazwinski AH (1970) Stochastic processes and filtering theory. Academic Press

    Google Scholar 

  8. Kushner HJ (1977) Probability methods for approximaions in stochastic control and for elliptic equations. Academic Press

    Google Scholar 

  9. Wong E (1971) Stochastic processes in information and dynamical systems. McGraw-Hill

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© 1989 Springer-Verlag Berlin Heidelberg

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Runggaldier, W.J., Clarotti, C.A. (1989). On Approximations for Stochastic Filtering with an Application to Reliability. In: Kall, P., Kohlas, J., Popp, W., Zehnder, C.A. (eds) Quantitative Methoden in den Wirtschaftswissenschaften. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74306-1_7

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  • DOI: https://doi.org/10.1007/978-3-642-74306-1_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-74307-8

  • Online ISBN: 978-3-642-74306-1

  • eBook Packages: Springer Book Archive

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