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Time-simultaneous prediction band for a time series

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  • Dag Kolsrud

    (Statistics Norway, Oslo, Norway)

Abstract

I propose principles and methods for the construction of a time-simultaneous prediction band for a univariate time series. The methods are entirely based on a learning sample of time trajectories, and make no parametric assumption about its distribution. Hence, the methods are general and widely applicable. The expected coverage probability of a band can be estimated by a bootstrap procedure. The estimate is likely to be less than the nominal level. Expected lack of coverage can be compensated for by increasing the coverage in the learning sample. Applications to simulated and empirical data illustrate the methods. Copyright © 2007 John Wiley & Sons, Ltd.

Suggested Citation

  • Dag Kolsrud, 2007. "Time-simultaneous prediction band for a time series," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 26(3), pages 171-188.
    • Handle: RePEc:jof:jforec:v:26:y:2007:i:3:p:171-188
    DOI: 10.1002/for.1020
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    References listed on IDEAS

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    Cited by:

    1. Dag Kolsrud, 2015. "A Time‐Simultaneous Prediction Box for a Multivariate Time Series," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 34(8), pages 675-693, December.
    2. Lütkepohl, Helmut & Staszewska-Bystrova, Anna & Winker, Peter, 2020. "Constructing joint confidence bands for impulse response functions of VAR models – A review," Econometrics and Statistics, Elsevier, vol. 13(C), pages 69-83.
    3. Li, J.S.H. & Ng, A.C.Y. & Chan, W.S., 2013. "Stochastic life table forecasting: A time-simultaneous fan chart application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 93(C), pages 98-107.
    4. Håvard Hungnes, 2020. "Equal predictability test for multi-step-ahead system forecasts invariant to linear transformations," Discussion Papers 931, Statistics Norway, Research Department.
    5. Li, Johnny Siu-Hang & Chan, Wai-Sum, 2011. "Time-simultaneous prediction bands: A new look at the uncertainty involved in forecasting mortality," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 81-88, July.

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