Asymptotics Of Nonstationary Fractional Integrated Series
AbstractIn this paper, we study the asymptotics of nonstationary fractional integrated time series, the long memory time series with d , with special attention focused on the cases when d = (2p + 1)/2 for integer n no less than 0. There is considerable empirical evidence showing long memory of this magnitude in many economic time series including the inflation rate and the stock market volatility. A study of the large-sample property is therefore both needed and useful. Also, we found the asymptotics of nonstationary fractional integrated time series useful in the study of the large-sample theory of the Kwiatkowski Phillips Schmidt Shin test (1992, Journal of Econometrics 54, 159 178).
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Bibliographic InfoArticle provided by Cambridge University Press in its journal Econometric Theory.
Volume (Year): 14 (1998)
Issue (Month): 05 (October)
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- Juan J. Dolado & Jesús Gonzalo & Laura Mayoral, 2005.
"What is what?: A simple time-domain test of long-memory vs. structural breaks,"
Economics Working Papers
954, Department of Economics and Business, Universitat Pompeu Fabra.
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- Juan J. Dolado & Jesús Gonzalo & Laura Mayoral, 2005. "Testing I(1) against I(d) alternatives in the presence of deteministic components," Economics Working Papers 957, Department of Economics and Business, Universitat Pompeu Fabra.
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- Vanessa Berenguer Rico & Jesus Gonzalo, 2011. "Summability of stochastic processes: a generalization of integration and co-integration valid for non-linear processes," Economics Working Papers we1115, Universidad Carlos III, Departamento de Economía.
- Chang Sik Kim & Peter C.B. Phillips, 2006. "Log Periodogram Regression: The Nonstationary Case," Cowles Foundation Discussion Papers 1587, Cowles Foundation for Research in Economics, Yale University.
- Berenguer-Rico, Vanessa & Gonzalo, Jesús, 2014. "Summability of stochastic processes—A generalization of integration for non-linear processes," Journal of Econometrics, Elsevier, vol. 178(P2), pages 331-341.
- Laura Mayoral, 2006. "Is the Observed Persistence Spurious? A Test for Fractional Integration versus Short Memory and Structural Breaks," Working Papers 260, Barcelona Graduate School of Economics.
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