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Empirical Economics

, Volume 16, Issue 4, pp 479–502 | Cite as

On testing for symmetry in business cycles

  • A. H. Westlund
  • S. Öhlén
Article

Abstract

Business cycle forecasting has become an important part of short and medium term economic planning. Such forecasting, however, is often very intricate, as business cycles are not at all periodic, just recurrent. Furthermore, they often include irregular timing and varying amplitudes. When patterns and relationships are very irregular there are no simple reliable business cycle forecasting procedures. In practice there is, somewhere, a limit for business cycle predictability, and it is often worthwhile to examine empirically the various theoretical regularity assumptions. One important regularity issue concerns the business cycle symmetry assumption. The present paper empirically tests the hypothesis of symmetry around business cycle turning points in some economic time series. Two test procedures are applied. One is based on the analysis of transition probabilities between expansion and recession regimes. The second procedure tests symmetry versus asymmetry through skewness statistics. The analysis is based on detrending through the use of linear deterministic trends as well as by Beveridge-Nelson decompositions.

Key words

Business cycle, detrending ARIMA Beveridge-Nelson decomposition asymmetry Markov process maximum likelihood Monte Carlo simulation skewness industrial production unemployment 

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References

  1. Anderson TW, Goodman LA (1957) Stastistical inference about Markov chains. Annals of Mathematical Statistics 28:89–110Google Scholar
  2. Beveridge S, Nelson CR (1981) A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the business cycle. Journal of Monetary Economics 7:151–174Google Scholar
  3. Blanchard OJ, Watson MW (1984) Are business cycles all alike? NBER Working Paper 1392Google Scholar
  4. Box GEP, Jenkins GW (1976) Time series analysis: forecasting and control. Holden-Day, San FranciscoGoogle Scholar
  5. Chang W, Smyth D (1971) The existence and persistence of cycles in nonlinear models: Kaldor's 1940 model reexamined. Review of Economic Studies 38:37–44Google Scholar
  6. Clark PK (1987) The cyclical component of US economic activity. Quarterly Journal of Economics CII, 797–814Google Scholar
  7. Cuddington JT, Winters LA (1987) The Beveridge-Nelson decomposition of economic time series —a quick computational method. Journal of Monetary Economics 19:125–127Google Scholar
  8. DeLong JB, Summers LH (1984) Are business cycles symmetric? NBER Working Paper 1444Google Scholar
  9. Falk B (1986) Further evidence on the asymmetric behavior of economic time series over the business cycle. Journal of Political Economy 94:1096–1109Google Scholar
  10. Harvey AC (1985) Trends and cycles in macroeconomic time series. Journal of Business and Economic Statistics 3:216–227Google Scholar
  11. Harvey AC, Todd PHJ (1983) Forecasting economic time series with structural and Box-Jenkins models: a case study. Journal of Business and Economic Statistics 1:299–315Google Scholar
  12. Hicks JR (1950) A contribution to the theory of the trade cycle. Clarendon, OxfordGoogle Scholar
  13. Keynes JM (1936) The general theory of employment, interest and money. Macmillan, LondonGoogle Scholar
  14. Miller SM (1988) The Beveridge-Nelson decomposition of economic time series — another economical computational method. Journal of Monetary Economics 19:141–142Google Scholar
  15. Neftçi SN (1984) Are economic time series asymmetric over the business cycles? Journal of Political Economy 92:307–328Google Scholar
  16. Nelson CR, Kang H (1981) Spurious periodicity in inappropriately detrended time series. Econometrica 49:741–751Google Scholar
  17. Rose H (1967) On the non-linear theory of the employment cycle. Review of Economic Studies 34:153–173Google Scholar
  18. Sheffrin SM (1987) Have economic fluctutations been dampened? A look at evidence outside the United States. Journal of Monetary Economics 21:73–83Google Scholar
  19. Sichel DE (1989) Are business cycles asymmetric? A correction. Journal of Political Economy 19:1255–1260Google Scholar
  20. Sussman H, Zahler R (1978) Catastrophe theory as applied to the social and biological sciences: a critique. Synthese 37:1–216Google Scholar
  21. Varian HR (1979) Catastrophe theory and the business cycle. Economic Inquiry 17:14–28Google Scholar
  22. Watson MW (1986) Univariate detrending methods with stochastic trends. Journal of Monetary Economics 18:40–74Google Scholar
  23. Westlund AH, Öhlén S (1989) On business cycle forecasting and the problem of variability in dynamic structures. Business Cycle Surveys with Special Reference to Pacific Economics, CIRET, Osaka. Oppenländer KH, Poser G (Eds)Google Scholar
  24. Wold H (1938) A study in the analysis of stationary time series. Almqvist and Wiksell, StockholmGoogle Scholar
  25. Zarnowitz V, Moore GH (1982) Sequential signals of recession and recovery. Journal of Business 55:57–85Google Scholar
  26. Zarnowitz V (1987) The regularity of business cycles. NBER Working Paper, 2381Google Scholar

Copyright information

© Physica-Verlag 1991

Authors and Affiliations

  • A. H. Westlund
    • 1
  • S. Öhlén
    • 2
  1. 1.Stockholm School of EconomicsStockholmSweden
  2. 2.Statistics SwedenSweden

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