A Least Informative Distribution of Ranging Errors in Robust Estimation of Localization
In the framework of the Huber's minimax variance approach to designing robust estimates of localization parameters, a generalization of the classical least informative distributions minimizing Fisher information for location is obtained in the wide class of ranging error distributions with a bo...
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| Format: | Article |
| Language: | English |
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FRUCT
2019-04-01
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| Series: | Proceedings of the XXth Conference of Open Innovations Association FRUCT |
| Subjects: | |
| Online Access: | https://fruct.org/publications/fruct24/files/She2.pdf
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| _version_ | 1818026833091756032 |
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| author | Georgy Shevlyakov Kiseon Kim |
| author_facet | Georgy Shevlyakov Kiseon Kim |
| author_sort | Georgy Shevlyakov |
| collection | DOAJ |
| description | In the framework of the Huber's minimax variance approach to designing robust estimates of localization parameters, a generalization of the classical least informative distributions minimizing Fisher information for location is obtained in the wide class of ranging error distributions with a bounded quantile value. The considered variational problem set up naturally originates from the real-life problem of estimation of the unknown coordinates of an asset surrounded by the beacons with known positions. |
| first_indexed | 2024-12-10T04:38:17Z |
| format | Article |
| id | doaj.art-3091a87cf1254c0b92cd935af518ef0b |
| institution | Directory Open Access Journal |
| issn | 2305-7254 2343-0737 |
| language | English |
| last_indexed | 2024-12-10T04:38:17Z |
| publishDate | 2019-04-01 |
| publisher | FRUCT |
| record_format | Article |
| series | Proceedings of the XXth Conference of Open Innovations Association FRUCT |
| spelling | doaj.art-3091a87cf1254c0b92cd935af518ef0b2022-12-22T02:01:57ZengFRUCTProceedings of the XXth Conference of Open Innovations Association FRUCT2305-72542343-07372019-04-0185424402407A Least Informative Distribution of Ranging Errors in Robust Estimation of LocalizationGeorgy Shevlyakov0Kiseon Kim1Peter the Great St. Petersburg Polytechnic University, St. Petersburg, RussiaGwangju Institute of Science and Technology, Gwangju, South KoreaIn the framework of the Huber's minimax variance approach to designing robust estimates of localization parameters, a generalization of the classical least informative distributions minimizing Fisher information for location is obtained in the wide class of ranging error distributions with a bounded quantile value. The considered variational problem set up naturally originates from the real-life problem of estimation of the unknown coordinates of an asset surrounded by the beacons with known positions.https://fruct.org/publications/fruct24/files/She2.pdf robustnessFisher informationlocalization |
| spellingShingle | Georgy Shevlyakov Kiseon Kim A Least Informative Distribution of Ranging Errors in Robust Estimation of Localization Proceedings of the XXth Conference of Open Innovations Association FRUCT robustness Fisher information localization |
| title | A Least Informative Distribution of Ranging Errors in Robust Estimation of Localization |
| title_full | A Least Informative Distribution of Ranging Errors in Robust Estimation of Localization |
| title_fullStr | A Least Informative Distribution of Ranging Errors in Robust Estimation of Localization |
| title_full_unstemmed | A Least Informative Distribution of Ranging Errors in Robust Estimation of Localization |
| title_short | A Least Informative Distribution of Ranging Errors in Robust Estimation of Localization |
| title_sort | least informative distribution of ranging errors in robust estimation of localization |
| topic | robustness Fisher information localization |
| url | https://fruct.org/publications/fruct24/files/She2.pdf
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