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Cointegration and Sampling Frequency

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  • Marcus J. Chambers

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Abstract

This paper analyses the effects of sampling frequency on the properties of spectral regression estimators of cointegrating parameters. Large sample asymptotic properties are derived under three scenarios concerning the span of data and sampling frequency, each scenario depending on whether span or frequency (or both) tends to infinity. The limiting distributions are shown to be different in each case. Furthermore, the asymptotic efficiency of the estimators obtained with a fixed sampling frequency is compared with that obtained with a continuous record of data, and it is shown that the only inefficiencies arise with respect to stock variables. Some simulation results and an empirical illustration are also provided.

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Bibliographic Info

Paper provided by University of Essex, Department of Economics in its series Economics Discussion Papers with number 531.

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Date of creation: 2001
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Handle: RePEc:esx:essedp:531

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  1. McCrorie, J. Roderick, 2000. "Deriving The Exact Discrete Analog Of A Continuous Time System," Econometric Theory, Cambridge University Press, vol. 16(06), pages 998-1015, December.
  2. Bergstrom, A.R., 1984. "Continuous time stochastic models and issues of aggregation over time," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 20, pages 1145-1212 Elsevier.
  3. Chambers, Marcus J., 2003. "The Asymptotic Efficiency Of Cointegration Estimators Under Temporal Aggregation," Econometric Theory, Cambridge University Press, vol. 19(01), pages 49-77, February.
  4. Perron, P., 1989. "Test Consistency With Varying Sampling Frequency," Papers 345, Princeton, Department of Economics - Econometric Research Program.
  5. Lahiri, Kajal & Mamingi, Nlandu, 1995. "Testing for cointegration: Power versus frequency of observation -- another view," Economics Letters, Elsevier, vol. 49(2), pages 121-124, August.
  6. Hansen, Bruce E., 1992. "Convergence to Stochastic Integrals for Dependent Heterogeneous Processes," Econometric Theory, Cambridge University Press, vol. 8(04), pages 489-500, December.
  7. Phillips, P.C.B., 1989. "Partially Identified Econometric Models," Econometric Theory, Cambridge University Press, vol. 5(02), pages 181-240, August.
  8. Chambers, Marcus J., 1999. "Discrete time representation of stationary and non-stationary continuous time systems," Journal of Economic Dynamics and Control, Elsevier, vol. 23(4), pages 619-639, February.
  9. Chambers, Marcus J., 2001. "Temporal Aggregation And The Finite Sample Performance Of Spectral Regression Estimators In Cointegrated Systems," Econometric Theory, Cambridge University Press, vol. 17(03), pages 591-607, June.
  10. Otero, Jesus & Smith, Jeremy, 2000. "Testing for cointegration: power versus frequency of observation -- further Monte Carlo results," Economics Letters, Elsevier, vol. 67(1), pages 5-9, April.
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Cited by:
  1. Dierk Herzer, 2011. "Cross-country heterogeneity and the trade-income relationship," Ibero America Institute for Econ. Research (IAI) Discussion Papers 209, Ibero-America Institute for Economic Research.
  2. Dierk Herzer & Holger Strulik & Sebastian Vollmer, 2012. "The long-run determinants of fertility: one century of demographic change 1900–1999," Journal of Economic Growth, Springer, vol. 17(4), pages 357-385, December.
  3. Herzer, Dierk & Strulik, Holger, 2013. "Religiosity and income: A panel cointegration and causality analysis," Center for European, Governance and Economic Development Research Discussion Papers 168, University of Goettingen, Department of Economics.

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