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Hierarchical forecasting methods have been widely used to support aligned decision-making by providing coherent forecasts at different aggregation levels. Traditional hierarchical forecasting approaches, such as the bottom-up and top-down…

Forecast combination -- the aggregation of individual forecasts from multiple experts or models -- is a proven approach to economic forecasting. To date, research on economic forecasting has concentrated on local combination methods, which…

计量经济学 · 经济学 2024-03-12 Ryan Thompson , Yilin Qian , Andrey L. Vasnev

The importance of exploring a potential integration among surveys has been acknowledged in order to enhance effectiveness and minimize expenses. In this work, we employ the alignment method to combine information from two different surveys…

统计方法学 · 统计学 2024-04-09 Vasilis Chasiotis , Dimitris Karlis

Probabilistic load forecasts provide comprehensive information about future load uncertainties. In recent years, many methodologies and techniques have been proposed for probabilistic load forecasting. Forecast combination, a widely…

应用统计 · 统计学 2018-03-20 Yi Wang , Ning Zhang , Yushi Tan , Tao Hong , Daniel Kirschen , Chongqing Kang

Reconciliation enforces coherence between hierarchical forecasts, in order to satisfy a set of linear constraints. While most works focus on the reconciliation of the point forecasts, we consider probabilistic reconciliation and we analyze…

应用统计 · 统计学 2024-02-15 Lorenzo Zambon , Arianna Agosto , Paolo Giudici , Giorgio Corani

Probabilistic predictions are probability distributions over the set of possible outcomes. Such predictions quantify the uncertainty in the outcome, making them essential for effective decision making. By combining multiple predictions, the…

机器学习 · 统计学 2024-11-26 Sam Allen , David Ginsbourger , Johanna Ziegel

Statistical post-processing techniques are now widely used to correct systematic biases and errors in calibration of ensemble forecasts obtained from multiple runs of numerical weather prediction models. A standard approach is the ensemble…

统计方法学 · 统计学 2018-05-23 Sándor Baran , Sebastian Lerch

In distributional or average-case analysis, the goal is to design an algorithm with good-on-average performance with respect to a specific probability distribution. Distributional analysis can be useful for the study of general-purpose…

数据结构与算法 · 计算机科学 2020-07-28 Tim Roughgarden

Randomness in scientific estimation is generally assumed to arise from unmeasured or uncontrolled factors. However, when combining subjective probability estimates, heterogeneity stemming from people's cognitive or information diversity is…

统计方法学 · 统计学 2015-09-14 Ville A. Satopää , Robin Pemantle , Lyle H. Ungar

With the continuous increase in the computational power and resources of modern high-performance computing (HPC) systems, large-scale ensemble simulations have become widely used in various fields of science and engineering, and especially…

人机交互 · 计算机科学 2022-09-23 Keita Watanabe , Naohisa Sakamoto , Jorji Nonaka , Yasumitsu Maejima

In the typical analysis of a data set, a single method is selected for statistical reporting even when equally applicable methods yield very different results. Examples of equally applicable methods can correspond to those of different…

统计方法学 · 统计学 2012-10-30 David R. Bickel

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

Model--based clustering for directional data data has attracted a lot of interest, but most methods utilize rotationally symmetric distributions. This paper suggests the use of elliptically symmetric distributions, namely the elliptically…

统计方法学 · 统计学 2026-05-28 Theodoros Perdikis , Nader Alharbi , Michail Tsagris

Although by now the ensemble-based probabilistic forecasting is the most advanced approach to weather prediction, ensemble forecasts still might suffer from lack of calibration and/or display systematic bias, thus require some…

应用统计 · 统计学 2024-09-18 Ágnes Baran , Sándor Baran

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

Uncertainty analysis in the form of probabilistic forecasting can provide significant improvements in decision-making processes in the smart power grid for better integrating renewable energies such as wind. Whereas point forecasting…

机器学习 · 统计学 2018-03-30 Kostas Hatalis , Shalinee Kishore , Katya Scheinberg , Alberto Lamadrid

We introduce a dynamic approach to probabilistic forecast reconciliation at scale. Our model differs from the existing literature in this area in several important ways. Firstly we explicitly allow the weights allocated to the base…

统计方法学 · 统计学 2024-09-20 Ross Hollyman , Fotios Petropoulos , Michael E. Tipping

This paper offers a mathematical invention that shows how to convert integrated quantiles, which often appear in risk measures, into integrated cumulative distribution functions, which are technically more tractable from various…

风险管理 · 定量金融 2023-04-26 Yunran Wei , Ricardas Zitikis

Long-range ensemble forecasts are typically verified as anomalies with respect to a lead-time dependent climatological mean to remove the influence of systematic biases. However, common methods for calculating anomalies result in…

大气与海洋物理 · 物理学 2025-06-11 Christopher D. Roberts , Martin Leutbecher

Angular observations, or observations lying on the unit circle, arise in many disciplines and require special care in their description, analysis, interpretation and visualization. We provide methods to construct concentric circular boxplot…

统计方法学 · 统计学 2026-02-06 Joshua D. Berlinski , Fan Dai , Ranjan Maitra