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Smooth multi-period forecasting with application to prediction of COVID-19 cases
Elena Tuzhilina1, Trevor J Hastie2, Daniel J McDonald3
1Department of Statistics, Stanford University.
This study introduces a novel multi-period forecasting method that ensures smooth predictions across multiple time horizons. The approach enhances accuracy for both point and interval forecasting, particularly for real-time COVID-19 predictions.
Area of Science:
- Epidemiology
- Computational Statistics
- Time Series Analysis
Background:
- Forecasting methodologies are critical, gaining significant attention during the COVID-19 pandemic.
- Multi-period forecasting, predicting multiple future time points simultaneously, presents unique challenges.
Purpose of the Study:
- To develop and evaluate a novel approach for multi-period forecasting.
- To ensure predictions are 'smooth' across different forecast horizons.
- To apply the methodology to real-time distributed COVID-19 forecasting.
Main Methods:
- Proposed a novel forecasting approach enforcing smoothness across prediction horizons.
- Applied the method to point estimation using regression.
- Utilized quantile regression for interval prediction.
Main Results:
- Demonstrated the effectiveness of the 'smooth' prediction methodology.
- Successfully applied the technique to the CovidCast dataset.
- Validated the approach with a simulation example.
Conclusions:
- The proposed multi-period forecasting method provides a robust framework for time series prediction.
- The technique is particularly valuable for real-time epidemiological forecasting, such as for COVID-19.
- The 'smoothness' constraint improves prediction consistency across multiple horizons.
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