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Deterministic Parameter Change Models in Continuous and Discrete Time

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  • Chambers, Marcus J
  • Taylor, AM Robert

Abstract

We consider a model of deterministic one-time parameter change in a continuous time autoregressive model around a deterministic trend function. The exact discrete time analogue model is detailed and compared to corresponding parameter change models adopted in the discrete time literature. The relationships between the parameters in the continuous time model and the discrete time analogue model are also explored. Our results show that the discrete time models used in the literature can be justified by the corresponding continuous time model, with a only a minor modification needed for the (most likely) case where the changepoint does not coincide with one of the discrete time observation points. The implications of our results for a number of extant discrete time models and testing procedures are discussed.

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  • Chambers, Marcus J & Taylor, AM Robert, 2019. "Deterministic Parameter Change Models in Continuous and Discrete Time," Essex Finance Centre Working Papers 24072, University of Essex, Essex Business School.
    • Handle: RePEc:esy:uefcwp:24072
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    Cited by:

    1. Casini, Alessandro & Perron, Pierre, 2021. "Continuous record Laplace-based inference about the break date in structural change models," Journal of Econometrics, Elsevier, vol. 224(1), pages 3-21.
    2. Karanasos, Menelaos & Paraskevopoulos, Alexandros & Magdalinos, Anastasios & Canepa, Alessandra, 2024. "A Unified Theory for Arma Models with Varying Coefficients: One Solution Fits All," Department of Economics and Statistics Cognetti de Martiis. Working Papers 202413, University of Turin.

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