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Forecast combinations have been widely applied in the last few decades to improve forecasting. Estimating optimal weights that can outperform simple averages is not always an easy task. In recent years, the idea of using time series…

统计方法学 · 统计学 2021-10-22 Yanfei Kang , Wei Cao , Fotios Petropoulos , Feng Li

Forecast combinations have flourished remarkably in the forecasting community and, in recent years, have become part of the mainstream of forecasting research and activities. Combining multiple forecasts produced from single (target) series…

统计方法学 · 统计学 2022-09-26 Xiaoqian Wang , Rob J Hyndman , Feng Li , Yanfei Kang

It is often reported in forecast combination literature that a simple average of candidate forecasts is more robust than sophisticated combining methods. This phenomenon is usually referred to as the "forecast combination puzzle". Motivated…

统计方法学 · 统计学 2015-05-05 Wei Qian , Craig A. Rolling , Gang Cheng , Yuhong Yang

The predictive advantage of combining several different predictive models is widely accepted. Particularly in time series forecasting problems, this combination is often dynamic to cope with potential non-stationary sources of variation…

机器学习 · 统计学 2021-04-06 Vitor Cerqueira , Luis Torgo , Carlos Soares , Albert Bifet

In the analysis of survey data, sampling weights are needed for consistent estimation of the population. However, the original inverse probability weights from the survey sample design are typically modified to account for non-response, to…

统计计算 · 统计学 2025-08-19 Matthew R. Williams , Terrance D. Savitsky

We investigate the performance and sampling variability of estimated forecast combinations, with particular attention given to the combination of forecast distributions. Unknown parameters in the forecast combination are optimized according…

统计方法学 · 统计学 2022-06-07 Ryan Zischke , Gael M. Martin , David T. Frazier , D. S. Poskitt

Model averaging combines forecasts obtained from a range of models, and it often produces more accurate forecasts than a forecast from a single model. The crucial part of forecast accuracy improvement in using the model averaging lies in…

应用统计 · 统计学 2018-10-01 Han Lin Shang , Steven Haberman

Probability forecasting is common in the geosciences, the finance sector, and elsewhere. It is sometimes the case that one has multiple probability-forecasts for the same target. How is the information in these multiple forecast systems…

统计方法学 · 统计学 2016-03-02 Sarah Higgins , Hailiang Du , Leonard A. Smith

Model averaging has gained significant attention in recent years due to its ability of fusing information from different models. The critical challenge in frequentist model averaging is the choice of weight vector. The bootstrap method,…

统计方法学 · 统计学 2024-12-10 Minghui Song , Guohua Zou , Alan T. K. Wan

Model merging, particularly through weight averaging, has shown surprising effectiveness in saving computations and improving model performance without any additional training. However, the interpretability of why and how this technique…

机器学习 · 计算机科学 2025-08-20 Hu Wang , Congbo Ma , Ibrahim Almakky , Ian Reid , Gustavo Carneiro , Mohammad Yaqub

We demonstrate that the forecasting combination puzzle is a consequence of the methodology commonly used to produce forecast combinations. By the combination puzzle, we refer to the empirical finding that predictions formed by combining…

计量经济学 · 经济学 2023-08-11 David T. Frazier , Ryan Covey , Gael M. Martin , Donald Poskitt

Improvement of time series forecasting accuracy through combining multiple models is an important as well as a dynamic area of research. As a result, various forecasts combination methods have been developed in literature. However, most of…

人工智能 · 计算机科学 2013-02-28 Ratnadip Adhikari , R. K. Agrawal

Forecast combination has been proven to be a very important technique to obtain accurate predictions. In many applications, forecast errors exhibit heavy tail behaviors for various reasons. Unfortunately, to our knowledge, little has been…

统计方法学 · 统计学 2015-08-27 Gang Cheng , Sicong Wang , Yuhong Yang

We present distributed algorithms that can be used by multiple agents to align their estimates with a particular value over a network with time-varying connectivity. Our framework is general in that this value can represent a consensus…

最优化与控制 · 数学 2010-04-20 Angelia Nedić , Asuman Ozdaglar , Pablo A. Parrilo

Forecast combination is widely recognized as a preferred strategy over forecast selection due to its ability to mitigate the uncertainty associated with identifying a single "best" forecast. Nonetheless, sophisticated combinations are often…

统计方法学 · 统计学 2024-06-17 Xiaoqian Wang , Yanfei Kang , Feng Li

This expository paper discusses Bayesian decision analysis perspectives on problems of constrained forecasting. Foundational and pedagogic discussion contrasts decision analytic approaches with the traditional, but typically inappropriate,…

统计方法学 · 统计学 2021-12-01 Mike West

The problem of combining individual forecasters to produce a forecaster with improved performance is considered. The connections between probability elicitation and classification are used to pose the combining forecaster problem as that of…

统计方法学 · 统计学 2017-07-11 Hamed Masnadi-Shirazi

Properties of weighted averages are studied for the general case that the individual measurements are subject to hidden correlations and have asymmetric statistical as well as systematic errors. Explicit expressions are derived for an…

高能物理 - 实验 · 物理学 2007-05-23 Michael Schmelling

Model selection strategies have been routinely employed to determine a model for data analysis in statistics, and further study and inference then often proceed as though the selected model were the true model that were known a priori. This…

统计方法学 · 统计学 2018-02-13 Priyam Mitra , Heng Lian , Ritwik Mitra , Hua Liang , Min-ge Xie

This paper proposes corrected forecast combinations when the original combined forecast errors are serially dependent. Motivated by the classic Bates and Granger (1969) example, we show that combined forecast errors can be strongly…

计量经济学 · 经济学 2026-01-16 Chu-An Liu , Andrey L. Vasnev
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