The DOI matches its Crossref record; 70 of the 70 references it cites were found in a registry or an index.
Forecasting Time Series With Complex Seasonal Patterns Using Exponential Smoothing
Open accessAbstract
An innovations state space modeling framework is introduced for forecasting complex seasonal time series such as those with multiple seasonal periods, high-frequency seasonality, non-integer seasonality, and dual-calendar effects. The new framework incorporates Box–Cox transformations, Fourier representations with time varying coefficients, and ARMA error correction. Likelihood evaluation and analytical expressions for point forecasts and interval predictions under the assumption of Gaussian errors are derived, leading to a simple, comprehensive approach to forecasting complex seasonal time series. A key feature of the framework is that it relies on a new method that greatly reduces the computational burden in the maximum likelihood estimation. The modeling framework is useful for a broad range of applications, its versatility being illustrated in three empirical studies. In addition, the proposed trigonometric formulation is presented as a means of decomposing complex seasonal time series, and it is shown that this decomposition leads to the identification and extraction of seasonal components which are otherwise not apparent in the time series plot itself.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Model selection and multimodel inference: a practical information-theoretic approach.
Guthery, F. S., Burnham, K. P., & Anderson, D. R. (2003) · The Journal of Wildlife Management · doi:10.2307/3802723 · Cited by 41,495
A Simplex Method for Function Minimization
Nelder, J. A., & Mead, R. (1965) · The Computer Journal · doi:10.1093/comjnl/7.4.308 · Cited by 28,905
Time Series Analysis: Forecasting and Control
Geurts, M., Box, G. E. P., & Jenkins, G. M. (1977) · Journal of Marketing Research · doi:10.2307/3150485 · Cited by 19,186
An Analysis of Transformations
Box, G. E. P., & Cox, D. R. (1964) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1964.tb00553.x · Cited by 15,052
Another look at measures of forecast accuracy
Hyndman, R. J., & Koehler, A. B. (2006) · International Journal of Forecasting · doi:10.1016/j.ijforecast.2006.03.001 · Cited by 5,757
Self-citationModel Selection and Multimodel Inference
(2003) · Technometrics · doi:10.1198/tech.2003.s146 · Cited by 5,449
Forecasting, Structural Time Series Models and the Kalman Filter
Fildes, R., Harvey, A. C., West, M., & Harrison, J. (1991) · The Journal of the Operational Research Society · doi:10.2307/2583225 · Cited by 4,682
Journal of Statistical Software
Leeuw, J. D. (2009) · WIREs Computational Statistics · doi:10.1002/wics.10 · Cited by 3,599
Automatic Time Series Forecasting: The forecast Package for R
Hyndman, R. J., & Khandakar, Y. (2008) · Journal of Statistical Software · doi:10.18637/jss.v027.i03 · Cited by 3,511
Self-citationTime Series Analysis by State Space Methods: Second Edition
Durbin, J., & Koopman, S. J. (2012) · doi:10.1093/acprof:oso/9780199641178.001.0001 · Cited by 3,301
Cited by
Lago, J., De Ridder, F., & De Schutter, B. (2018) · Applied Energy · doi:10.1016/j.apenergy.2018.02.069 · Cited by 642
Floating treatment wetlands as a suitable option for large-scale wastewater treatment
Afzal, M., Arslan, M., Müller, J. A., Shabir, G., Islam, E., Tahseen, R., Anwar-ul-Haq, M., Hashmat, A. J., Iqbal, S., & Khan, Q. M. (2019) · Nature Sustainability · doi:10.1038/s41893-019-0350-y · Cited by 184
Time Series-Based GHG Emissions Prediction for Smart Homes
Riekstin, A. C., Langevin, A., Dandres, T., Gagnon, G., & Cheriet, M. (2020) · IEEE Transactions on Sustainable Computing · doi:10.1109/tsusc.2018.2886164 · Cited by 41
AutoAI-TS: AutoAI for Time Series Forecasting
Shah, S. Y., Patel, D., Vu, L., Dang, X.-H., Chen, B., Kirchner, P., Samulowitz, H., Wood, D., Bramble, G., Gifford, W. M., et al. (2021) · Proceedings of the 2021 International Conference on Management of Data · doi:10.1145/3448016.3457557 · Cited by 39
Weak signals in the mobility landscape: car sharing in ten European cities
Boldrini, C., Bruno, R., & Laarabi, M. H. (2019) · EPJ Data Science · doi:10.1140/epjds/s13688-019-0186-8 · Cited by 32
Metadata
- Authors
- De Livera, A. M., Hyndman, R. J., & Snyder, R. D.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 2011-12
- Volume
- 106
- Issue
- 496
- Pages
- 1513-1527
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2109316012
- Cited by
- 1,049
- References
- 70
- FWCI
- 17.34
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Forecasting Time Series With Complex Seasonal Patterns Using Exponential Smoothing. https://app.cochat.ai/papers/10.1198/jasa.2011.tm09771
- The paper
- De Livera, A. M., Hyndman, R. J., & Snyder, R. D. (2011). Forecasting Time Series With Complex Seasonal Patterns Using Exponential Smoothing. Journal of the American Statistical Association. https://doi.org/10.1198/jasa.2011.tm09771
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.