Empirical prediction intervals revisited
Empirical prediction intervals are constructed based on the distribution of previous out-of-sample forecast errors. Given historical data, a sample of such forecast errors is generated by successively applying a chosen point forecasting model to a sequence of fixed windows of past observations and recording the associated deviations of the model predictions from the actual observations out-of-sample. The suitable quantiles of the distribution of these forecast errors are then used along with the point forecast made by the selected model to construct an empirical prediction interval. This paper re-examines the properties of the empirical prediction interval. Specifically, we provide conditions for its asymptotic validity, evaluate its small sample performance and discuss its limitations.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
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.:
- Diebold, Francis X. & Rudebusch, Glenn D., 1991.
"On the power of Dickey-Fuller tests against fractional alternatives,"
Elsevier, vol. 35(2), pages 155-160, February.
- Francis X. Diebold & Glenn D. Rudebusch, 1990. "On the power of Dickey-Fuller tests against fractional alternatives," Finance and Economics Discussion Series 119, Board of Governors of the Federal Reserve System (U.S.).
- Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Helene Rey, 2005.
"PPP Strikes Back: Aggregation and the Real Exchange Rate,"
- Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation And the Real Exchange Rate," The Quarterly Journal of Economics, Oxford University Press, vol. 120(1), pages 1-43.
- Haroon Mumtaz & Jean Imbs & Morten O. Ravn & Helene Rey, 2003. "PPP Strikes Back; Aggregation and the Real Exchange Rate," IMF Working Papers 03/68, International Monetary Fund.
- Jean Imbs & Haroon Mumtaz & Morton O. Ravn & Helene Rey, 2002. "PPP Strikes Back: Aggregation and the Real Exchange Rate," NBER Working Papers 9372, National Bureau of Economic Research, Inc.
- Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Helene Rey, 2003. "PPP Strikes Back: Aggregation and the Real Exchange Rate," IEHAS Discussion Papers 0307, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
- Imbs, Jean & Mumtaz, Haroon & Ravn, Morten O & Rey, Hélène, 2003. "PPP Strikes Back: Aggregation and the Real Exchange Rate," CEPR Discussion Papers 3715, C.E.P.R. Discussion Papers.
- Giacomini, Raffaella & White, Halbert, 2003.
"Tests of Conditional Predictive Ability,"
University of California at San Diego, Economics Working Paper Series
qt5jk0j5jh, Department of Economics, UC San Diego.
- Engle, Robert F & Manganelli, Simone, 1999.
"CAViaR: Conditional Autoregressive Value at Risk by Regression Quantiles,"
University of California at San Diego, Economics Working Paper Series
qt06m3d6nv, Department of Economics, UC San Diego.
- Robert F. Engle & Simone Manganelli, 2004. "CAViaR: Conditional Autoregressive Value at Risk by Regression Quantiles," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 367-381, October.
- Robert Engle & Simone Manganelli, 2000. "CAViaR: Conditional Autoregressive Value at Risk by Regression Quantiles," Econometric Society World Congress 2000 Contributed Papers 0841, Econometric Society.
- James W. Taylor & Derek W. Bunn, 1999. "A Quantile Regression Approach to Generating Prediction Intervals," Management Science, INFORMS, vol. 45(2), pages 225-237, February.
- Reeves, Jonathan J., 2005. "Bootstrap prediction intervals for ARCH models," International Journal of Forecasting, Elsevier, vol. 21(2), pages 237-248.
- Joel Cohen, 1986. "Population forecasts and confidence intervals for sweden: a comparison of model-based and empirical approaches," Demography, Springer, vol. 23(1), pages 105-126, February.
- Kim, Jae H, 2001. "Bootstrap-after-Bootstrap Prediction Intervals for Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(1), pages 117-28, January.
- Stefan Rayer & Stanley Smith & Jeff Tayman, 2009. "Empirical Prediction Intervals for County Population Forecasts," Population Research and Policy Review, Springer, vol. 28(6), pages 773-793, December.
- Phillips, Peter C. B., 1979. "The sampling distribution of forecasts from a first-order autoregression," Journal of Econometrics, Elsevier, vol. 9(3), pages 241-261, February.
- Chatfield, Chris, 1993. "Calculating Interval Forecasts: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(2), pages 143-44, April.
- DeJong, David N, et al, 1992. "Integration versus Trend Stationarity in Time Series," Econometrica, Econometric Society, vol. 60(2), pages 423-33, March.
- Hansen, Bruce E., 2006. "Interval forecasts and parameter uncertainty," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 377-398.
- Christoffersen, Peter F, 1998. "Evaluating Interval Forecasts," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 841-62, November.
- Taylor, James W., 2007. "Forecasting daily supermarket sales using exponentially weighted quantile regression," European Journal of Operational Research, Elsevier, vol. 178(1), pages 154-167, April.
- Olga Isengildina-Massa & Scott Irwin & Darrel Good & Luca Massa, 2011. "Empirical confidence intervals for USDA commodity price forecasts," Applied Economics, Taylor & Francis Journals, vol. 43(26), pages 3789-3803.
- Mark Taylor, 2006. "Real exchange rates and Purchasing Power Parity: mean-reversion in economic thought," Applied Financial Economics, Taylor & Francis Journals, vol. 16(1-2), pages 1-17.
- Chatfield, Chris, 1993. "Calculating Interval Forecasts," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(2), pages 121-35, April.
- Yoshihara, Ken-ichi, 1995. "The Bahadur representation of sample quantiles for sequences of strongly mixing random variables," Statistics & Probability Letters, Elsevier, vol. 24(4), pages 299-304, September.
When requesting a correction, please mention this item's handle: RePEc:eee:intfor:v:30:y:2014:i:2:p:217-234. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.