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Statistical Learning With Time-Varying Parameters

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  • McGough, Bruce
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    Abstract

    In their landmark paper, Bray and Savin note that the constant-parameters model used by their agents to form expectations is misspecified and that, using standard econometric techniques, agents may be able to determine the time-varying nature of the model s parameters. Here, we consider the same type of model as employed by Bray and Savin except that our agents form expectations using a perceived model with parameters that vary with time. We assume agents use the Kalman filter to form estimates of these time-varying parameters. We find that, under certain restrictions on the structure of the stochastic process and on the value of the stability parameter, the model will converge to its rational expectations equilibrium. Further, the restrictions on the stability parameter required for convergence are identical to those found by Bray and Savin.

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    Bibliographic Info

    Article provided by Cambridge University Press in its journal Macroeconomic Dynamics.

    Volume (Year): 7 (2003)
    Issue (Month): 01 (February)
    Pages: 119-139

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    Handle: RePEc:cup:macdyn:v:7:y:2003:i:01:p:119-139_01

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    Cited by:
    1. J. Huston McCulloch, 2005. "The Kalman Foundations of Adaptive Least Squares: Applications to Unemployment and Inflation," Computing in Economics and Finance 2005 239, Society for Computational Economics.
    2. Berardi, Michele & Galimberti, Jaqueson K., 2013. "A note on exact correspondences between adaptive learning algorithms and the Kalman filter," Economics Letters, Elsevier, vol. 118(1), pages 139-142.
    3. James B. Bullard & Jacek Suda, 2008. "The stability of macroeconomic systems with Bayesian learners," Working Papers 2008-043, Federal Reserve Bank of St. Louis.
    4. Carravetta, Francesco & Sorge, Marco M., 2013. "Model reference adaptive expectations in Markov-switching economies," Economic Modelling, Elsevier, vol. 32(C), pages 551-559.
    5. Gaballo, Gaetano, 2013. "Good luck or good policy? An expectational theory of macro volatility switches," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2755-2770.

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