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We introduce a nonparametric bootstrap procedure based on a dynamic factor model to construct pointwise prediction intervals for period life-table death counts. The age distribution of death counts is an example of constrained data, which…

统计方法学 · 统计学 2025-07-17 Han Lin Shang

We propose a finite sample based predictor for estimated linear one dimensional time series models and compute the associated total forecasting error. The expression for the error that we present takes into account the estimation error.…

统计理论 · 数学 2012-09-20 Lyudmila Grigoryeva , Juan-Pablo Ortega

This research paper introduces innovative approaches for multivariate time series forecasting based on different variations of the combined regression strategy. We use specific data preprocessing techniques which makes a radical change in…

机器学习 · 统计学 2024-05-09 Aryan Bhambu , Arabin Kumar Dey

Volatility forecasts are key inputs in financial analysis. While lasso based forecasts have shown to perform well in many applications, their use to obtain volatility forecasts has not yet received much attention in the literature. Lasso…

应用统计 · 统计学 2016-10-11 Ines Wilms , Jeroen Rombouts , Christophe Croux

In this paper we consider the problem of constructing confidence intervals for coefficients of martingale regression models (in particular, time series models) after variable selection. Although constructing confidence intervals are common…

统计理论 · 数学 2020-05-19 Ka Wai Tsang , Wei Dai

Classically, confidence intervals are required to have consistent coverage across all values of the parameter. However, this will inevitably break down if the underlying estimation procedure is biased. For this reason, many efforts have…

统计方法学 · 统计学 2025-08-06 Logan Harris , Patrick Breheny

Predictive inference under a general regression setting is gaining more interest in the big-data era. In terms of going beyond point prediction to develop prediction intervals, two main threads of development are conformal prediction and…

统计理论 · 数学 2025-05-19 Yiren Wang , Dimitris N. Politis

We conduct an extensive empirical study on short-term electricity price forecasting (EPF) to address the long-standing question if the optimal model structure for EPF is univariate or multivariate. We provide evidence that despite a minor…

应用统计 · 统计学 2018-05-18 Florian Ziel , Rafal Weron

Multivariate time series forecasting focuses on predicting future values based on historical context. State-of-the-art sequence-to-sequence models rely on neural attention between timesteps, which allows for temporal learning but fails to…

机器学习 · 计算机科学 2023-03-21 Jake Grigsby , Zhe Wang , Nam Nguyen , Yanjun Qi

Future trajectories play an important role across domains such as autonomous driving, hurricane forecasting, and epidemic modeling, where practitioners commonly generate ensemble paths by sampling probabilistic models or leveraging multiple…

机器学习 · 计算机科学 2025-08-20 Ruipu Li , Daniel Menacho , Alexander Rodríguez

In assessing prediction accuracy of multivariable prediction models, optimism corrections are essential for preventing biased results. However, in most published papers of clinical prediction models, the point estimates of the prediction…

统计方法学 · 统计学 2022-08-02 Hisashi Noma , Tomohiro Shinozaki , Katsuhiro Iba , Satoshi Teramukai , Toshi A. Furukawa

Water demand is a highly important variable for operational control and decision making. Hence, the development of accurate forecasts is a valuable field of research to further improve the efficiency of water utilities. Focusing on…

应用统计 · 统计学 2020-05-12 Jens Kley-Holsteg , Florian Ziel

Regression problems with bounded continuous outcomes frequently arise in real-world statistical and machine learning applications, such as the analysis of rates and proportions. A central challenge in this setting is predicting a response…

机器学习 · 统计学 2025-07-21 Zhanli Wu , Fabrizio Leisen , F. Javier Rubio

High-dimensional time series forecasting suffers from severe overfitting when the number of predictors exceeds available observations, making standard local projection methods unstable and unreliable. We propose an enhanced Random Subspace…

机器学习 · 计算机科学 2026-03-10 Eman Khalid , Moimma Ali Khan , Zarmeena Ali , Abdullah Illyas , Muhammad Usman , Saoud Ahmed

Existing conformal prediction algorithms estimate prediction intervals at target confidence levels to characterize the performance of a regression model on new test samples. However, considering an autonomous system consisting of multiple…

机器学习 · 计算机科学 2023-09-25 Yunye Gong , Yi Yao , Xiao Lin , Ajay Divakaran , Melinda Gervasio

Constructing prediction intervals for time series forecasting is challenging, particularly when practitioners rely solely on point forecasts. While previous research has focused on creating increasingly efficient intervals, we argue that…

统计方法学 · 统计学 2025-01-20 Carlos Sebastián , Carlos E. González-Guillén , Jesús Juan

One popular approach for nonstructural economic and financial forecasting is to include a large number of economic and financial variables, which has been shown to lead to significant improvements for forecasting, for example, by the…

机器学习 · 统计学 2011-06-21 Song Song , Peter J. Bickel

Uncertainty quantification is essential in decision-making, especially when joint distributions of random variables are involved. While conformal prediction provides distribution-free prediction sets with valid coverage guarantees, it…

机器学习 · 计算机科学 2025-01-03 Rui Luo , Zhixin Zhou

For the prediction with experts' advice setting, we construct forecasting algorithms that suffer loss not much more than any expert in the pool. In contrast to the standard approach, we investigate the case of long-term forecasting of time…

机器学习 · 计算机科学 2019-02-28 Alexander Korotin , Vladimir V'yugin , Evgeny Burnaev

We propose a bootstrap-based calibrated projection procedure to build confidence intervals for single components and for smooth functions of a partially identified parameter vector in moment (in)equality models. The method controls…

统计理论 · 数学 2024-07-03 Hiroaki Kaido , Francesca Molinari , Jörg Stoye