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Testing for Unit Roots with Flow Data and Varying Sampling Frequency

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  • Chambers, MJ

Abstract

This paper considers tests for a unit root in a flow variable when the span of data and/or the sampling frequency are allowed to vary. The limiting distributions of the statistics are obtained under both the null and alternative hypotheses, thereby enabling an analysis of the consistency properties of the tests to be conducted. Contrary to the situation with a stock variable, it is found that it is possible to consistently test for a unit root in a flow variable even when the span of the data is fixed, and, furthermore, that increasing the span of the data is not in itself sufficient for consistent testing. Some new simulation results are provided while the theoretical results obtained help to explain recent simulation findings by other authors involving unit root tests with flow variables.

Suggested Citation

  • Chambers, MJ, 2001. "Testing for Unit Roots with Flow Data and Varying Sampling Frequency," Economics Discussion Papers 2761, University of Essex, Department of Economics.
    • Handle: RePEc:esx:essedp:2761
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    1. Chambers, Marcus J., 2004. "Testing for unit roots with flow data and varying sampling frequency," Journal of Econometrics, Elsevier, vol. 119(1), pages 1-18, March.
    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. Perron, Pierre, 1991. "Test Consistency with Varying Sampling Frequency," Econometric Theory, Cambridge University Press, vol. 7(3), pages 341-368, September.
    4. Ng, Serena, 1995. "Testing for unit roots in flow data sampled at different frequencies," Economics Letters, Elsevier, vol. 47(3-4), pages 237-242, March.
    5. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    6. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    7. Choi, In, 1992. "Effects of data aggregation on the power of tests for a unit root : A simulation study," Economics Letters, Elsevier, vol. 40(4), pages 397-401, December.
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    1. Chambers, Marcus J., 2004. "Testing for unit roots with flow data and varying sampling frequency," Journal of Econometrics, Elsevier, vol. 119(1), pages 1-18, March.
    2. Wang, Dabin & Tomek, William G., 2004. "Commodity Prices And Unit Root Tests," 2004 Annual meeting, August 1-4, Denver, CO 20141, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. repec:hal:journl:peer-00815563 is not listed on IDEAS
    4. Hassler, Uwe, 2011. "Estimation of fractional integration under temporal aggregation," Journal of Econometrics, Elsevier, vol. 162(2), pages 240-247, June.
    5. Theodore Simos & Mike Tsionas, 2018. "Bayesian inference of the fractional Ornstein–Uhlenbeck process under a flow sampling scheme," Computational Statistics, Springer, vol. 33(4), pages 1687-1713, December.
    6. Xuedong Wu & Jeffrey H. Dorfman & Berna Karali, 2018. "The impact of data frequency on market efficiency tests of commodity futures prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(6), pages 696-714, June.
    7. Wang, Dabin & Tomek, William G., 2004. "Commodity Prices And Unit Root Tests," Working Papers 127145, Cornell University, Department of Applied Economics and Management.
    8. Chambers, MJ, 2016. "The Effects of Sampling Frequency on Detrending Methods for Unit Root Tests," Economics Discussion Papers 16062, University of Essex, Department of Economics.

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