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The Discrete–Continuous Correspondence for Frequency-Limited Arma Models and the Hazards of Oversampling

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  • David Stephen Pollock

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Abstract

Discrete-time ARMA processes can be placed in a one-to-one correspondence with a set of continuous-time processes that are bounded in frequency by the Nyquist value of ? radians per sample period. It is well known that, if data are sampled from a continuous process of which the maximum frequency exceeds the Nyquist value, then there will be a problem of aliasing. However, if the sampling is too rapid, then other problems will arise that will cause the ARMA estimates to be severely biased. The paper reveals the nature of these problems and it shows how they may be overcome. It is argued that the estimation of macroeconomic processes may be compromised by a failure to take account of their limits in frequency.

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Bibliographic Info

Paper provided by Department of Economics, University of Leicester in its series Discussion Papers in Economics with number 11/14.

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Date of creation: Jan 2011
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Handle: RePEc:lec:leecon:11/14

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Related research

Keywords: Stochastic Differential Equations; Band-Limited Stochastic Processes; Oversampling;

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