Least square estimation of non-linear structural models

  • A new method for estimating a wide class of structural equation models (SEM) is proposed and evaluated. A weighted least squares approach is used that estimates parameters and latent variables. This new approach is flexible enough to handle non-linear and non-smooth models and allows us to model various constraints. The method includes various strategies to deal with the problem of choosing weights. The principle strengths and weaknesses of this approach are discussed, and simulation studies are performed to reveal the problems and potential of this approach.

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Metadaten
Author:Reinhard OldenburgORCiDGND
URN:urn:nbn:de:bvb:384-opus4-1107633
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/110763
Parent Title (English):Statistics, Optimization & Information Computing
Publisher:International Academic Press
Place of publication:Wan Chai
Type:Article
Language:English
Year of first Publication:2024
Publishing Institution:Universität Augsburg
Release Date:2024/01/15
Volume:12
Issue:2
First Page:281
Last Page:297
DOI:https://doi.org/10.19139/soic-2310-5070-1868
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Didaktik der Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):CC-BY 3.0: Creative Commons - Namensnennung (mit Print on Demand)