On the reliability of mixed LS adjustment models

This paper examines the internal and external reliability criteria of the mixed LS adjustment model. We use the reliability concept to quantify the potential for detecting gross errors and to estimate their impact on the adjusted parameters. After a short introduction to the mixed adjustment model,...

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Main Author: Gilad Even-Tzur
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2023-03-01
Series:Geodesy and Cartography
Subjects:
Online Access:https://jbem.vgtu.lt/index.php/GAC/article/view/16893
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author Gilad Even-Tzur
author_facet Gilad Even-Tzur
author_sort Gilad Even-Tzur
collection DOAJ
description This paper examines the internal and external reliability criteria of the mixed LS adjustment model. We use the reliability concept to quantify the potential for detecting gross errors and to estimate their impact on the adjusted parameters. After a short introduction to the mixed adjustment model, the hat matrix and Baarda’s data snooping we describe the theoretical tools developed to define the internal and external reliability in the mixed adjustment model. The paper presents the results of an example of LS adjustment of transformation parameters between two coordinate systems, indicating that the reliability can be used effectively for this model.
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spelling doaj.art-f8513851d77340cfbb02e3436b4165122023-03-13T16:16:40ZengVilnius Gediminas Technical UniversityGeodesy and Cartography2029-69912029-70092023-03-0149110.3846/gac.2023.16893On the reliability of mixed LS adjustment modelsGilad Even-Tzur0Division of Mapping and Geo-Information Engineering, Faculty of Civil and Environmental Engineering, Technion–Israeli Institute of Technology, Haifa, Israel This paper examines the internal and external reliability criteria of the mixed LS adjustment model. We use the reliability concept to quantify the potential for detecting gross errors and to estimate their impact on the adjusted parameters. After a short introduction to the mixed adjustment model, the hat matrix and Baarda’s data snooping we describe the theoretical tools developed to define the internal and external reliability in the mixed adjustment model. The paper presents the results of an example of LS adjustment of transformation parameters between two coordinate systems, indicating that the reliability can be used effectively for this model. https://jbem.vgtu.lt/index.php/GAC/article/view/16893internal reliabilityexternal reliabilitymixed adjustment modelhat matrix
spellingShingle Gilad Even-Tzur
On the reliability of mixed LS adjustment models
Geodesy and Cartography
internal reliability
external reliability
mixed adjustment model
hat matrix
title On the reliability of mixed LS adjustment models
title_full On the reliability of mixed LS adjustment models
title_fullStr On the reliability of mixed LS adjustment models
title_full_unstemmed On the reliability of mixed LS adjustment models
title_short On the reliability of mixed LS adjustment models
title_sort on the reliability of mixed ls adjustment models
topic internal reliability
external reliability
mixed adjustment model
hat matrix
url https://jbem.vgtu.lt/index.php/GAC/article/view/16893
work_keys_str_mv AT giladeventzur onthereliabilityofmixedlsadjustmentmodels