Consideration of Trends in Time Series
Even though the trend components of economic time series were among the first to be distinguished, even today the trend remains relatively little understood. As Phillips (2005) notes, no one understands trends, but everyone sees them in the data. Economists and econometricians can give plenty of examples of trends, such as straight lines, exponentials or polynomials in time, and also forms of random walks, but these are merely examples. Individuals or groups do have their own personal definitions, but these diverse approaches illustrate the lack of a generally accepted definition of a trend. They also suggest a richness of alternatives to consider, both individually and jointly. Here, we make a variety of observations about trends, and based on these, we offer working definitions of various kinds of trends. We emphasize that these are working definitions, as our purpose here is to invite discussion, not to settle matters once and for all. Our hope is that our discussion here may facilitate development of increasingly better methods for prediction, estimation and hypothesis testing for non-stationary time-series data, and ultimately may enable decision makers to make more informed decisions.
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Volume (Year): 3 (2011)
Issue (Month): 1 (February)
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Granger, Clive W.J. & Jeon, Yongil, 2007. "Long-term forecasting and evaluation," International Journal of Forecasting, Elsevier, vol. 23(4), pages 539-551.
- Phillips, Peter C B & Xiao, Zhijie, 1998.
" A Primer on Unit Root Testing,"
Journal of Economic Surveys,
Wiley Blackwell, vol. 12(5), pages 423-469, December.
- Hui Liu & Gabriel Rodriguez, 2003.
"Human Activities and Global Warming: A Cointegration Analysis,"
0307E, University of Ottawa, Department of Economics.
- Liu, Hui & Rodríguez, Gabriel, 2005. "Human activities and global warming: a cointegration analysis," MPRA Paper 9939, University Library of Munich, Germany.
- Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, December.
- M. Hashem Pesaran & Davide Pettenuzzo & Allan Timmermann, 2004.
"Forecasting Time Series Subject to Multiple Structural Breaks,"
CESifo Working Paper Series
1237, CESifo Group Munich.
- M. Hashem Pesaran & Davide Pettenuzzo & Allan Timmermann, 2006. "Forecasting Time Series Subject to Multiple Structural Breaks," Review of Economic Studies, Oxford University Press, vol. 73(4), pages 1057-1084.
- Pesaran, M. Hashem & Pettenuzzo, Davide & Timmermann, Allan, 2004. "Forecasting Time Series Subject to Multiple Structural Breaks," IZA Discussion Papers 1196, Institute for the Study of Labor (IZA).
- Pesaran, M.H. & Pettenuzzo, D. & Timmermann, A., 2004. "‘Forecasting Time Series Subject to Multiple Structural Breaks’," Cambridge Working Papers in Economics 0433, Faculty of Economics, University of Cambridge.
- Pesaran, M Hashem & Pettenuzzo, Davide & Timmermann, Allan G, 2004. "Forecasting Time Series Subject to Multiple Structural Breaks," CEPR Discussion Papers 4636, C.E.P.R. Discussion Papers.
- Engle, Robert & Granger, Clive, 2015.
"Co-integration and error correction: Representation, estimation, and testing,"
Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
- Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-276, March.
- Robert J. Shiller, 1980.
"Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?,"
NBER Working Papers
0456, National Bureau of Economic Research, Inc.
- Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-436, June.
- Hiroshi Yamada, 2005. "Nonlinear co-trending and the Fisher relationship in Japan: a note," Applied Financial Economics Letters, Taylor and Francis Journals, vol. 1(5), pages 285-287, September.
- Peter C.B. Phillips & Tassos Magdalinos, 2007.
"Limit Theory for Explosively Cointegrated Systems,"
Cowles Foundation Discussion Papers
1614, Cowles Foundation for Research in Economics, Yale University.
- Ulrich K. Müller & Mark W. Watson, 2008.
"Testing Models of Low-Frequency Variability,"
Econometric Society, vol. 76(5), pages 979-1016, 09.
- Stock, James H, 1996. "VAR, Error Correction and Pretest Forecasts at Long Horizons," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(4), pages 685-701, November.
- Mark W. French, 2001. "Estimating changes in trend growth of total factor productivity: Kalman and H-P filters versus a Markov-switching framework," Finance and Economics Discussion Series 2001-44, Board of Governors of the Federal Reserve System (U.S.).
- Peter C.B. Phillips, 2004.
"Challenges of Trending Time Series Econometrics,"
Cowles Foundation Discussion Papers
1472, Cowles Foundation for Research in Economics, Yale University.
- Hendry, David F., 1995. "Dynamic Econometrics," OUP Catalogue, Oxford University Press, number 9780198283164, December.
- LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-574, May.
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