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Multivariate linear regression models often face the problem of heteroscedasticity caused by multiple explanatory variables. The weighted least squares estimation with univariate-dependent weights has limitations in constructing weight…

Methodology · Statistics 2026-01-16 Lei Huang , Chengyue Liu , Li Wang

The nested error regression model is a useful tool for analyzing clustered (grouped) data, and is especially used in small area estimation. The classical nested error regression model assumes normality of random effects and error terms, and…

Methodology · Statistics 2016-05-16 Shonosuke Sugasawa , Tatsuya Kubokawa

Meta-analysis is widely used to integrate results from multiple experiments to obtain generalized insights. Since meta-analysis datasets are often heteroscedastic due to varying subgroups and temporal heterogeneity arising from experiments…

Methodology · Statistics 2026-01-19 Kohsuke Kubota , Shonosuke Sugasawa , Keiichi Ochiai , Takahiro Hoshino

A framework for probabilistic forecasting of vessel motion is developed and validated for a semisubmersible operating in long period swell. Bayesian statistical methods are applied to predictions of the heave response from a physics model…

Other Statistics · Statistics 2026-03-30 Ian Milne , Lachlan Astfalck , Matthew Zed , Jack Lee-Kopij , Edward Cripps

In many practical applications, regression models are employed to uncover relationships between predictors and a response variable, yet the common assumption of constant error variance is frequently violated. This issue is further…

Methodology · Statistics 2025-02-05 Masanari Kimura

Service platforms must determine rules for matching heterogeneous demand (customers) and supply (workers) that arrive randomly over time and may be lost if forced to wait too long for a match. Our objective is to maximize the cumulative…

Optimization and Control · Mathematics 2023-12-19 Angelos Aveklouris , Levi DeValve , Maximiliano Stock , Amy R. Ward

The presence of mesoscopic heterogeneities in fluid-saturated porous rocks can produce measurable seismoelectric signals due to wave-induced fluid flow between regions of differing compressibility. The dependence of these signals on the…

Estimates of seismic wave speeds in the Earth (seismic velocity models) are key input parameters to earthquake simulations for ground motion prediction. Owing to the non-uniqueness of the seismic inverse problem, typically many velocity…

Background: Pairwise and network meta-analyses using fixed effect and random effects models are commonly applied to synthesise evidence from randomised controlled trials. The models differ in their assumptions and the interpretation of the…

Methodology · Statistics 2017-08-04 Shijie Ren , Jeremy E. Oakley , John W. Stevens

The safety and resilience of civil infrastructure systems are increasingly threatened by compounded risks from various hazard events and structural deterioration due to environmental stressors. This study presents a comprehensive…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Sudhir P. Jodha , Konstantinos G. Papakonstantinou

Predicting region-wide structural responses under seismic shaking is essential for enhancing the effectiveness of earthquake engineering task forces such as earthquake early warning and regional seismic risk and resilience assessments.…

Computational Engineering, Finance, and Science · Computer Science 2025-03-04 Chunxiao Ning , Yazhou Xie

Accounting for the complexity of psychological theories requires methods that can predict not only changes in the means of latent variables -- such as personality factors, creativity, or intelligence -- but also changes in their variances.…

Methodology · Statistics 2025-05-27 Luna Fazio , Paul-Christian Bürkner

Endurance time method is a time history dynamic analysis in which structures are subjected to predesigned intensifying excitations. This method provides a tool for response prediction that correlates structural responses to the intensity of…

Computational Engineering, Finance, and Science · Computer Science 2020-08-27 Homayoon E. Estekanchi , Mohammadreza Mashayekhi , Hassan Vafai , Goodarz Ahmadi , S. Ali Mirfarhadi , Mojtaba Harati

In this paper, we propose a novel approach to detect heteroskedasticity in regression models with regressors contaminated by measurement error. Specifically, inspired by the integrated conditional moment (ICM) approach, we construct test…

Econometrics · Economics 2026-05-20 Xiaojun Song , Jichao Yuan

In this paper we propose a new test of heteroscedasticity for parametric regression models and partial linear regression models in high dimensional settings. When the dimension of covariates is large, existing tests of heteroscedasticity…

Methodology · Statistics 2018-08-09 Falong Tan , Xuejun Jiang , Xu Guo , Lixing Zhu

In public opinion studies, the relationships between opinions on different topics are likely to shift based on the characteristics of the respondents. Thus, understanding the complexities of public opinion requires methods that can account…

We propose a model averaging approach, combined with a partition and matching method to estimate the conditional average treatment effects under heteroskedastic error settings. The proposed approach has asymptotic optimality and consistency…

Methodology · Statistics 2024-12-17 Pengfei Shi , Xinyu Zhang , Wei Zhong

Seasonality (or periodicity) and trend are features describing an observed sequence, and extracting these features is an important issue in many scientific fields. However, it is not an easy task for existing methods to analyze…

Statistics Theory · Mathematics 2013-03-20 Yu-Chun Chen , Ming-Yen Cheng , Hau-tieng Wu

Heteroscedasticity -- where the variance of a variable changes with other variables -- is pervasive in real data, and elucidating why it arises from the perspective of statistical moments is crucial in scientific knowledge discovery and…

Machine Learning · Statistics 2026-05-28 Yoichi Chikahara

Distinguishing the cause and effect from bivariate observational data is the foundational problem that finds applications in many scientific disciplines. One solution to this problem is assuming that cause and effect are generated from a…

Machine Learning · Statistics 2023-12-19 Quang-Duy Tran , Bao Duong , Phuoc Nguyen , Thin Nguyen