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A Least-Squares Model Specification Test for a Class of Dynamic Nonlinear Economic Models With Systematically Varying Parameters


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


This study develops a least-squares measure for simultaneously testing the basic compatibility of prior dynamical, observational, and distributional model specifications against actual data for a class of dynamic nonlinear economic models with parameters explicitly modeled as nonlinear functions of endogenous and exogenous variables. Using invariant imbedding techniques, an algorithm is derived for sequentially updating the optimal least-squares estimates for parameters, endogenous variables, and squared residual modeling error sums as the duration of the process increases and new observations are obtained. Annotated pointers to related work can be accessed here:

Suggested Citation

  • Kalaba, Robert E. & Tesfatsion, Leigh S., 1980. "A Least-Squares Model Specification Test for a Class of Dynamic Nonlinear Economic Models With Systematically Varying Parameters," Staff General Research Papers Archive 11222, Iowa State University, Department of Economics.
  • Handle: RePEc:isu:genres:11222

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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.
    2. O. Olawale Awe & A. Adedayo Adepoju, 2018. "Modified Recursive Bayesian Algorithm For Estimating Time-Varying Parameters In Dynamic Linear Models," Statistics in Transition New Series, Polish Statistical Association, vol. 19(2), pages 239-258, June.

    More about this item


    Flexible least squares; Invariant imbedding; sequential updating; dynamic nonlinear equations;

    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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