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Can Economic Time Series Be Differenced to Stationarity?


  • Leybourne, S J
  • McCabe, B P M
  • Tremayne, A R


This paper considers a class of nonstationary varying coefficient autoregressive models which allow stochastic variability in the autoregressive root. It is argued that such models provide a better description of the behaviour of macroeconomic variables than fixed unit root autoregressive models as they allow more general forms of nonstationarity. We construct a test of the null hypothesis of a fixed unit root against the alternative of a fixed unit root against the alternative of a randomized root with unit mean, and derive its asymptotic distribution. The test is applied to a number of U.S. macroeconomic series generally considered to contain fixed unit roots. We find that for about half of the series the fixed unit root null is rejected.

Suggested Citation

  • Leybourne, S J & McCabe, B P M & Tremayne, A R, 1996. "Can Economic Time Series Be Differenced to Stationarity?," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 435-446, October.
  • Handle: RePEc:bes:jnlbes:v:14:y:1996:i:4:p:435-46

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    References listed on IDEAS

    1. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    2. Rothwell, Geoffrey, 1990. "Utilization and service : Decomposing nuclear reactor capacity factors," Resources and Energy, Elsevier, vol. 12(3), pages 215-229, September.
    3. Geoffrey Rothwell & John Rust, 1995. "A Dynamic Programming Model of U.S. Nuclear Power Plant Operations," Microeconomics 9502001, EconWPA, revised 06 Feb 1995.
    4. Andrews, Donald W K, 1988. "Chi-Square Diagnostic Tests for Econometric Models: Theory," Econometrica, Econometric Society, vol. 56(6), pages 1419-1453, November.
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