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The distance between rival nonstationary fractional processes

Peter M. Robinson

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

Abstract: Asymptotic inference on nonstationary fractional time series models, including cointegrated ones, is proceeding along two routes, determined by alternative definitions of nonstationary processes. We derive bounds for the mean squared error of the difference between (possibly tapered) discrete Fourier transforms under two regimes. We apply the results to deduce limit theory for estimates of memory parameters, including ones for cointegrated errors, with mention also of implications for estimates of cointegrating coefficients.

Keywords: Nonstationary fractional processes; memory parameter estimation; fractional cointegration; rates of convergence. (search for similar items in EconPapers)
JEL-codes: C22 (search for similar items in EconPapers)
Pages: 27 pages
Date: 2004-03
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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