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Exact Sequential Solutions for a Class of Discrete-Time Nonlinear Estimation Problems

Author

Listed:
  • Kalaba, Robert E.
  • Tesfatsion, Leigh S.

Abstract

An exact procedure is developed for sequentially updating the optimal solution for a general discrete-time nonlinear least-squares estimation problem as the process length increases and new observations are obtained. The optimal sequential estimation equations are derived by means of an imbedding on two physically meaningful parameters, namely, the duration of the dynamical process and the value of the final observation. The optimal sequential estimation equations are contrasted with the approximate sequential estimation equations which would be obtained via extended Kalman filtering. Annotated pointers to related work can be accessed here: http://www2.econ.iastate.edu/tesfatsi/flshome.htm

Suggested Citation

  • Kalaba, Robert E. & Tesfatsion, Leigh S., 1981. "Exact Sequential Solutions for a Class of Discrete-Time Nonlinear Estimation Problems," Staff General Research Papers Archive 11216, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genres:11216
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    Cited by:

    1. Kalaba, Robert & Tesfatsion, Leigh, 1996. "A multicriteria approach to model specification and estimation," Computational Statistics & Data Analysis, Elsevier, vol. 21(2), pages 193-214, February.

    More about this item

    Keywords

    Nonlinear filtering; adaptive control; extended Kalman filtering;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling

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