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Please use this identifier to cite or link to this item: http://hdl.handle.net/2381/9257

Title: Band-Limited Stochastic Processes in Discrete and Continuous Time
Authors: Pollock, D.S.G.
Issue Date: Jan-2011
Publisher: Dept. of Economics, University of Leicester
Abstract: A theory of band-limited linear stochastic processes is described and it is related to the familiar theory of ARMA models in discrete time. By ignoring the limitation on the frequencies of the forcing function, in the process of fitting a conventional ARMA model, one is liable to derive estimates that are severely biased. If the maximum frequency in the sampled data is less than the Nyquist value, then the underlying continuous function can be reconstituted by sinc function or Fourier interpolation. The estimation biases can be avoided by re-sampling the continuous process at a rate corresponding to the maximum frequency of the forcing function. Then, there is a direct correspondence between the parameters of the band-limited ARMA model and those of an equivalent continuous-time process.
Series/Report no.: Papers in Economics;11/11
Links: http://www.le.ac.uk/ec/research/discussi(...)
http://hdl.handle.net/2381/9257
Type: Report
Appears in Collections:Reports, Dept. of Economics

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