Improvement of Baarda’s external reliability measure
The reliability theory has been an important element of the classical geodetic adjustment theory and methods in a linear Gauss-Markov model since Baarda invented reliability in 1968. Although geodetic reliability has been widely investigated and applied to a variety of geodetic, photogrammetric, and...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-11-01
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| Series: | Geo-spatial Information Science |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/10095020.2023.2273827 |
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| _version_ | 1846127661382893568 |
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| author | Peiliang Xu Jingnan Liu Wenxian Zeng Yun Shi Yanxiong Liu Yu Hu |
| author_facet | Peiliang Xu Jingnan Liu Wenxian Zeng Yun Shi Yanxiong Liu Yu Hu |
| author_sort | Peiliang Xu |
| collection | DOAJ |
| description | The reliability theory has been an important element of the classical geodetic adjustment theory and methods in a linear Gauss-Markov model since Baarda invented reliability in 1968. Although geodetic reliability has been widely investigated and applied to a variety of geodetic, photogrammetric, and remote sensing problems, there is no report of theoretical progress to improve further Baarda’s reliability measures among linear models. We propose the power of the effect of the minimum detectable outlier on parameters as an alternative external reliability measure, present a regularized external reliability, and demonstrate for the first time that the external reliability measure of Baarda’s type is not the best and can be significantly improved through regularization for inverse ill-posed problems. An ill-posed regression example is used to illustrate the regularized external reliability measure, which is shown to perform much better than the external reliability measure of Baarda’s type. |
| format | Article |
| id | doaj-art-543a382904e44d3d9cbeed0efbdc03c8 |
| institution | Kabale University |
| issn | 1009-5020 1993-5153 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Geo-spatial Information Science |
| spelling | doaj-art-543a382904e44d3d9cbeed0efbdc03c82024-12-11T11:57:33ZengTaylor & Francis GroupGeo-spatial Information Science1009-50201993-51532024-11-012762227223610.1080/10095020.2023.2273827Improvement of Baarda’s external reliability measurePeiliang Xu0Jingnan Liu1Wenxian Zeng2Yun Shi3Yanxiong Liu4Yu Hu5Disaster Prevention Research Institute, Kyoto University, Kyoto, JapanResearch Center of GNSS, Wuhan University, Wuhan, ChinaSchool of Geodesy and Geomatics, Wuhan University, Wuhan, ChinaSchool of Geomatics, Xi’an University of Science and Technology, Xi’an, ChinaFirst Institute of Oceanography, Ministry of Natural Resources, Qingdao, ChinaSchool of Geodesy and Geomatics, Wuhan University, Wuhan, ChinaThe reliability theory has been an important element of the classical geodetic adjustment theory and methods in a linear Gauss-Markov model since Baarda invented reliability in 1968. Although geodetic reliability has been widely investigated and applied to a variety of geodetic, photogrammetric, and remote sensing problems, there is no report of theoretical progress to improve further Baarda’s reliability measures among linear models. We propose the power of the effect of the minimum detectable outlier on parameters as an alternative external reliability measure, present a regularized external reliability, and demonstrate for the first time that the external reliability measure of Baarda’s type is not the best and can be significantly improved through regularization for inverse ill-posed problems. An ill-posed regression example is used to illustrate the regularized external reliability measure, which is shown to perform much better than the external reliability measure of Baarda’s type.https://www.tandfonline.com/doi/10.1080/10095020.2023.2273827Adjustmentinverse problemsreliability theoryregularized external reliability |
| spellingShingle | Peiliang Xu Jingnan Liu Wenxian Zeng Yun Shi Yanxiong Liu Yu Hu Improvement of Baarda’s external reliability measure Geo-spatial Information Science Adjustment inverse problems reliability theory regularized external reliability |
| title | Improvement of Baarda’s external reliability measure |
| title_full | Improvement of Baarda’s external reliability measure |
| title_fullStr | Improvement of Baarda’s external reliability measure |
| title_full_unstemmed | Improvement of Baarda’s external reliability measure |
| title_short | Improvement of Baarda’s external reliability measure |
| title_sort | improvement of baarda s external reliability measure |
| topic | Adjustment inverse problems reliability theory regularized external reliability |
| url | https://www.tandfonline.com/doi/10.1080/10095020.2023.2273827 |
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