Deterministic Parameter Change Models in Continuous and Discrete Time

Marcus Chambers and Robert Taylor

Journal of Time Series Analysis, 2020, vol. 41, issue 1, 134-145

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.

Date: 2020
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https://doi.org/10.1111/jtsa.12456

Related works:
Working Paper: Deterministic Parameter Change Models in Continuous and Discrete Time (2019)
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