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Regression Models with Mixed Sampling Frequencies

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  • Elena Andreou
  • Eric Ghysels
  • Andros Kourtellos

Abstract

We study regression models that involve data sampled at different frequencies. We derive the asymptotic properties of the NLS estimators of such regression models and compare them with the LS estimators of a traditional model that involves aggregating or equally weighting data to estimate a model at the same sampling frequency. In addition we provide a new aggregation bias test. We explore the above theoretical aspects and verify them via an extensive Monte Carlo simulation study and an empirical application.

Suggested Citation

  • Elena Andreou & Eric Ghysels & Andros Kourtellos, 2007. "Regression Models with Mixed Sampling Frequencies," University of Cyprus Working Papers in Economics 8-2007, University of Cyprus Department of Economics.
  • Handle: RePEc:ucy:cypeua:8-2007
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    File URL: http://papers.econ.ucy.ac.cy/RePEc/papers/08-07.pdf
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    References listed on IDEAS

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    1. Geweke, John F, 1978. "Temporal Aggregation in the Multiple Regression Model," Econometrica, Econometric Society, vol. 46(3), pages 643-661, May.
    2. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 407-437.
    3. Robert F. Engle & Ta-Chung Liu, 1972. "Effects of Aggregation Over Time on Dynamic Characteristics of an Econometric Model," NBER Chapters,in: Econometric Models of Cyclical Behavior, Volumes 1 and 2, pages 673-737 National Bureau of Economic Research, Inc.
    4. Hsiao, Cheng, 1979. "Linear regression using both temporally aggregated and temporally disaggregated data," Journal of Econometrics, Elsevier, vol. 10(2), pages 243-252, June.
    5. Granger, C. W. J., 1987. "Implications of Aggregation with Common Factors," Econometric Theory, Cambridge University Press, vol. 3(02), pages 208-222, April.
    6. Phillips, P C B, 1991. "Optimal Inference in Cointegrated Systems," Econometrica, Econometric Society, vol. 59(2), pages 283-306, March.
    7. Phillips, P C B, 1974. "The Estimation of Some Continuous Time Models," Econometrica, Econometric Society, vol. 42(5), pages 803-823, September.
    8. Ben S. Bernanke & Refet S. G├╝rkaynak, 2002. "Is Growth Exogenous? Taking Mankiw, Romer, and Weil Seriously," NBER Chapters,in: NBER Macroeconomics Annual 2001, Volume 16, pages 11-72 National Bureau of Economic Research, Inc.
    9. Ghysels, Eric & Hall, Alastair, 1990. "Are consumption-based intertemporal capital asset pricing models structural?," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 121-139.
    10. Sims, Christopher A, 1971. "Discrete Approximations to Continuous Time Distributed Lags in Econometrics," Econometrica, Econometric Society, vol. 39(3), pages 545-563, May.
    11. Phillips, P. C. B., 1973. "The problem of identification in finite parameter continuous time models," Journal of Econometrics, Elsevier, vol. 1(4), pages 351-362, December.
    12. Phillips, P C B, 1972. "The Structural Estimation of a Stochastic Differential Equation System," Econometrica, Econometric Society, vol. 40(6), pages 1021-1041, November.
    13. Ghysels, Eric & Wright, Jonathan H., 2009. "Forecasting Professional Forecasters," Journal of Business & Economic Statistics, American Statistical Association, vol. 27(4), pages 504-516.
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