General exponential smoothing and the equivalent arma process
By Ed McKenzie. 1984
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
- J. De Gooijer
- Rajat Sen
- Inderjit S. Dhillon
- Alysha M. De Livera
- Hsiang-Fu Yu
- Hanxiao Liu
- Rob J Hyndman
- Guokun Lai
Citations in the corpus
- Think Globally, Act Locally: A Deep Neural Network Approach to High-Dimensional Time Series Forecasting (2019, methodology): “For a comprehensive treatment of traditional methods, we refer the readers to [13, 19, 4, 18, 12] and the references there in.”
- Time series forecasting using a hybrid ARIMA and neural network model (2003, methodology): “In addition, various exponential smoothing models can be implemented by ARIMA models [26].”
- 25 Years of IIF Time Series Forecasting: A Selective Review (2005, methodology): “, McKenzie, 1984). The damped multiplicative methods of Taylor (2003) provide the only genuinely new exponential smoothing methods over this period.”
- Forecasting Time Series With Complex Seasonal Patterns Using Exponential Smoothing (2011, methodology): “We adopt the Gardner & McKenzie (1985) damped trend with damping 130 parameter φ , but follow the suggestion in Snyder (2006) to supplement it with a long-run 131 trend b. This change ensures that predictions of future values of the short-run trend bt 132 converge to the long-run trend b instead of ”
- 25 years of time series forecasting (2006, methodology): “…& Sweet, 1989; Makridakis & Hibon, 1991), proposals for new methods of estimation or initialization (Ledolter & Abraham, 1984), evaluation of the forecasts (Sweet & Wilson, 1988; McClain, 1988), or has concerned statistical models that can be considered to underly the methods (e.g. McKenzie, 1984).”
- Long-term Forecasting with TiDE: Time-series Dense Encoder (2023, methodology): “1984) and the Box-Jenkins methodology (Box and Jenkins, 1968) belong in this category.”
- Modeling Long- and Short-Term Temporal Patterns with Deep Neural Networks (2017, background): “ARIMAmodels are not only adaptive to various exponential smoothing techniques [25] but also flexible enough to subsume other types of time series models including autoregression (AR), moving average (MA) and Autoregressive Moving Average (ARMA).”
- A comparative study of linear and nonlinear models for aggregate retail sales forecasting (2003, methodology): “In addition, it has been shown that the popular Winter’s additive and multiplicative exponential smoothing models can be implemented by the equivalent ARIMA models (McKenzie, 1984; Bowerman and O’Connell, 1993).”
- A decoder-only foundation model for time-series forecasting (2023, methodology): “We create generators for ARMA (McKenzie, 1984) processes, seasonal patterns (mixture of sines and cosines of different frequencies), trends (linear, exponential with a few change-points) and step functions.”