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Discrete time representation of continuous time ARMA processes

Chambers, MJ and Thornton, MA (2012) 'Discrete time representation of continuous time ARMA processes.' Econometric Theory, 28 (1). 219 - 238. ISSN 0266-4666

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Abstract

This paper derives exact discrete time representations for data generated by a continuous time autoregressive moving average (ARMA) system with mixed stock and flow data. The representations for systems comprised entirely of stocks or of flows are also given. In each case the discrete time representations are shown to be of ARMA form, the orders depending on those of the continuous time system. Three examples and applications are also provided, two of which concern the stationary ARMA(2, 1) model with stock variables (with applications to sunspot data and a short-term interest rate) and one concerning the nonstationary ARMA(2, 1) model with a flow variable (with an application to U.S. nondurable consumers' expenditure). In all three examples the presence of an MA(1) component in the continuous time system has a dramatic impact on eradicating unaccounted-for serial correlation that is present in the discrete time version of the ARMA(2, 0) specification, even though the form of the discrete time model is ARMA(2, 1) for both models. © Copyright Cambridge University Press 2011.

Item Type: Article
Subjects: H Social Sciences > HB Economic Theory
Divisions: Faculty of Social Sciences > Economics, Department of
Depositing User: Jim Jamieson
Date Deposited: 03 Jul 2012 21:41
Last Modified: 05 Feb 2019 18:16
URI: http://repository.essex.ac.uk/id/eprint/2791

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