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A popular approach to perform inference on a target parameter in the presence of nuisance parameters is to construct estimating equations that are orthogonal to the nuisance parameters, in the sense that their expected first derivative is…

计量经济学 · 经济学 2026-02-25 Stéphane Bonhomme , Koen Jochmans , Martin Weidner

In various practical situations, we encounter data from stochastic processes which can be efficiently modelled by an appropriate parametric model for subsequent statistical analyses. Unfortunately, the most common estimation and inference…

统计方法学 · 统计学 2022-04-12 Rohan Hore , Abhik Ghosh

The modal factor model represents a new factor model for dimension reduction in high dimensional panel data. Unlike the approximate factor model that targets for the mean factors, it captures factors that influence the conditional mode of…

计量经济学 · 经济学 2024-10-01 Zhe Sun , Yundong Tu

The estimation of static parameters in dynamical systems and control theory has been extensively studied, with significant progress made in estimating varying parameters in specific system types. Suppose, in the general case, we have data…

最优化与控制 · 数学 2025-07-10 Jamiree Harrison , Enoch Yeung

We study the problem of parameter estimation for stochastic differential equations with small noise and fast oscillating parameters. Depending on how fast the intensity of the noise goes to zero relative to the homogenization parameter, we…

统计理论 · 数学 2015-02-20 Konstantinos Spiliopoulos , Alexandra Chronopoulou

In a longitudinal metabolomics study, multiple metabolites are measured from several observations at many time points. Interest lies in reducing the dimensionality of such data and in highlighting influential metabolites which change over…

应用统计 · 统计学 2013-12-10 Gift Nyamundanda , Isobel Claire Gormley , Lorraine Brennan

We collect robust proposals given in the field of regression models with heteroscedastic errors. Our motivation stems from the fact that the practitioner frequently faces the confluence of two phenomena in the context of data analysis:…

统计方法学 · 统计学 2023-11-08 Conceição Amado , Ana M. Bianco , Graciela Boente , Isabel M. Rodrigues

Dynamic statistical process monitoring methods have been widely studied and applied in modern industrial processes. These methods aim to extract the most predictable temporal information and develop the corresponding dynamic monitoring…

统计方法学 · 统计学 2022-11-10 Wei Fan , Qinqin Zhu , Shaojun Ren , Liang Zhang , Fengqi Si

Multi-Agent Reinforcement Learning involves agents that learn together in a shared environment, leading to emergent dynamics sensitive to initial conditions and parameter variations. A Dynamical Systems approach, which studies the evolution…

多智能体系统 · 计算机科学 2025-01-03 David Goll , Jobst Heitzig , Wolfram Barfuss

In this paper, we investigate diagonal estimation for large or implicit matrices, aiming to develop a novel and efficient stochastic algorithm that incorporates adaptive parameter selection. We explore the influence of different eigenvalue…

机器学习 · 统计学 2024-10-16 Zongyuan Han , Wenhao Li , Shengxin Zhu

Multi-model ensembles provide a pragmatic approach to the representation of model uncertainty in climate prediction. However, such representations are inherently ad hoc, and, as shown, probability distributions of climate variables based on…

大气与海洋物理 · 物理学 2009-08-26 T. N. Palmer , F. J. Doblas-Reyes , A. Weisheimer , G. J. Shutts , J. Berner , J. M. Murphy

Biophysical models describing complex, cellular phenomena typically include systems of nonlinear differential equations with many free parameters. While experimental measurements can fix some parameters, those describing internal cellular…

计算物理 · 物理学 2025-07-08 Joseph M. Marcinik , Martín A. Toderi , Dolores Bozovic

We consider the inference problem for parameters in stochastic differential equation models from discrete time observations (e.g. experimental or simulation data). Specifically, we study the case where one does not have access to…

数值分析 · 数学 2018-04-10 Sebastian Krumscheid

This paper presents a method for estimating parameters that form a general model for human pilot response for specific tasks. The human model is essential for the dynamic analysis of piloted vehicles. Data are generated on a simulator with…

系统与控制 · 电气工程与系统科学 2026-01-14 Harrison M. Bonner , Matthew R. Kirchner

Stochastic differential equations provide a powerful tool for modelling dynamic phenomena affected by random noise. In case of repeated observations of time series for several experimental units, it is often the case that some of the…

统计方法学 · 统计学 2024-09-06 Fernando Baltazar-Larios , Mogens Bladt , Michael Sørensen

Volatilities, in high-dimensional panels of economic time series with a dynamic factor structure on the levels or returns, typically also admit a dynamic factor decomposition. We consider a two-stage dynamic factor model method recovering…

计量经济学 · 经济学 2022-02-03 Matteo Barigozzi , Marc Hallin

This article proposes a dynamical system modeling approach for the analysis of longitudinal data of self-regulated systems experiencing multiple excitations. The aim of such an approach is to focus on the evolution of a signal (e.g., heart…

Economic model predictive control and tracking model predictive control are two popular advanced process control strategies used in various of fields. Nevertheless, which one should be chosen to achieve better performance in the presence of…

系统与控制 · 电气工程与系统科学 2022-01-07 Jiangbang Liu , Song Bo , Benjamin Decardi-Nelson , Jinfeng Liu , Jingtao Hu , Tao Zou

Extreme value applications commonly employ regression techniques to capture cross-sectional heterogeneity or time-variation in the data. Estimation of the parameters of an extreme value regression model is notoriously challenging due to the…

统计方法学 · 统计学 2022-05-12 Debbie J. Dupuis , Sebastian Engelke , Luca Trapin

We investigate differentially private estimators for individual parameters within larger parametric models. While generic private estimators exist, the estimators we provide repose on new local notions of estimand stability, and these…

机器学习 · 计算机科学 2025-03-24 Hilal Asi , John C. Duchi , Kunal Talwar