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Previous research has shown that ignoring individual differences of factor loadings in conventional factor models may reduce the determinacy of factor score predictors. Therefore, the aim of the present study is to propose a heterogeneous…

Methodology · Statistics 2025-03-11 André Beauducel , Norbert Hilger , Anneke C. Weide

How much do individuals contribute to team output? I propose an econometric framework to quantify individual contributions when only the output of their teams is observed. The identification strategy relies on following individuals who work…

Econometrics · Economics 2021-02-04 Stephane Bonhomme

This guide offers suggestions/insights on uncertainty quantification of nuclear structure models. We discuss a simple approach to statistical error estimates, strategies to assess systematic errors, and show how to uncover…

Nuclear Theory · Physics 2014-05-26 J. Dobaczewski , W. Nazarewicz , P. -G. Reinhard

A new method for estimating structural equation models (SEM) is proposed and evaluated. In contrast to most other methods, it is based directly on the data, not on the covariance matrix of the data. The new approach is flexible enough to…

Methodology · Statistics 2021-10-22 Reinhard Oldenburg

Structural analysis is a method for verifying equation-oriented models in the design of industrial systems. Existing structural analysis methods need flattening of the hierarchical models into an equation system for analysis. However, the…

Other Computer Science · Computer Science 2021-10-28 Chao Wang , Li Wan , Tifan Xiong , Yuanlong Xie , Shuting Wang , Jianwan Ding , Liping Chen

Parameter estimation in structural dynamics generally involves inferring the values of physical, geometric, or even customized parameters based on first principles or expert knowledge, which is challenging for complex structural systems. In…

Computational Engineering, Finance, and Science · Computer Science 2025-04-08 Mingyuan Zhou , Haoze Song , Wenjing Ye , Wei Wang , Zhilu Lai

Roughness parameters that characterize contacting surfaces with regard to friction and wear are commonly stated without uncertainties, or with an uncertainty only taking into account a very limited amount of aspects such as repeatability of…

Data Analysis, Statistics and Probability · Physics 2016-07-20 Dorothee Hüser , Jonathan Hüser , Sebastian Rief , Jörg Seewig , Peter Thomsen-Schmidt

In recent years, numerous studies have been published dealing with the effect of individual characteristics of pedestrians on the fundamental diagram. These studies compared cumulative data on individuals in a group homogeneous in terms of…

Physics and Society · Physics 2022-03-01 Sarah Paetzke , Maik Boltes , Armin Seyfried

We developed a novel statistical method to identify structural differences between networks characterized by structural equation models. We propose to reparameterize the model to separate the differential structures from common structures,…

Methodology · Statistics 2018-10-10 Min Ren , Dabao Zhang

Complex systems can be modelled at various levels of detail. Ideally, causal models of the same system should be consistent with one another in the sense that they agree in their predictions of the effects of interventions. We formalise…

We study the problem of parameter estimation for time-series possessing two, widely separated, characteristic time scales. The aim is to understand situations where it is desirable to fit a homogenized singlescale model to such multiscale…

Statistics Theory · Mathematics 2009-11-11 G. A. Pavliotis , A. M. Stuart

In this paper, we review several results from singularly perturbed differential equations with multiple small parameters. In addition, we develop a general conceptual framework to compare and contrast the different results by proposing a…

In this paper we propose a heterogeneous modeling framework which achieves individual-wise feature selection and individualized covariates' effects subgrouping simultaneously. In contrast to conventional model selection approaches, the new…

Methodology · Statistics 2019-06-11 Xiwei Tang , Fei Xue , Annie Qu

Heterogeneity of many building materials complicates numerical modelling of structural behaviour. The material randomicity can be manifested by different values of material parameters of each material specimen. To capture inherent…

Computational Engineering, Finance, and Science · Computer Science 2026-02-17 Eliška Kočková , Anna Kučerová

Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To account for heterogeneity, parameter values are…

Quantitative Methods · Quantitative Biology 2009-09-27 Steffen Waldherr , Jan Hasenauer , Frank Allgöwer

For a given statistical model, it often happens that it is necessary to intervene the model to reduce the variances of the output variables. In structural equation models, this can be done by changing the values of the path coefficients by…

Methodology · Statistics 2011-08-16 Kentaro Tanaka , Atsushi Yagishita , Masami Miyakawa

We provide a comprehensive examination of the predictive performance of panel forecasting methods based on individual, pooling, fixed effects, and empirical Bayes estimation, and propose optimal weights for forecast combination schemes. We…

Econometrics · Economics 2026-01-30 M. Hashem Pesaran , Andreas Pick , Allan Timmermann

We consider linear structural equation models that are associated with mixed graphs. The structural equations in these models only involve observed variables, but their idiosyncratic error terms are allowed to be correlated and…

Computation · Statistics 2017-10-10 Y. Samuel Wang , Mathias Drton

In this paper we propose a new method of estimation for discrete choice demand models when individual level data are available. The method employs a two-step procedure. Step 1 predicts the choice probabilities as functions of the observed…

Applications · Statistics 2020-10-19 Nick Doudchenko , Evgeni Drynkin

Systems biology models are useful models of complex biological systems that may require a large amount of experimental data to fit each model's parameters or to approximate a likelihood function. These models range from a few to thousands…

Quantitative Methods · Quantitative Biology 2024-07-12 Vincent D. Zaballa , Elliot E. Hui