{"title":"一维大地电磁反演问题解存在性的置信限","authors":"Yuanchou Zhang, K. Paulson","doi":"10.5636/JGG.49.1145","DOIUrl":null,"url":null,"abstract":"The necessary and sufficient conditions for the existence of a solution to the one-dimensional magnetotelluric inverse problem are extended to error data. The confidence criterion is defined and used for testing the existence of a one-dimensional solution when data errors are considered. Synthetic data sets and two very popular real data sets are tested using this new confidence criterion.","PeriodicalId":156587,"journal":{"name":"Journal of geomagnetism and geoelectricity","volume":"249 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Confidence Limit for the Existence of a Solution to the One-Dimensional Magnetotelluric Inverse Problem\",\"authors\":\"Yuanchou Zhang, K. Paulson\",\"doi\":\"10.5636/JGG.49.1145\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The necessary and sufficient conditions for the existence of a solution to the one-dimensional magnetotelluric inverse problem are extended to error data. The confidence criterion is defined and used for testing the existence of a one-dimensional solution when data errors are considered. Synthetic data sets and two very popular real data sets are tested using this new confidence criterion.\",\"PeriodicalId\":156587,\"journal\":{\"name\":\"Journal of geomagnetism and geoelectricity\",\"volume\":\"249 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of geomagnetism and geoelectricity\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5636/JGG.49.1145\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of geomagnetism and geoelectricity","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5636/JGG.49.1145","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Confidence Limit for the Existence of a Solution to the One-Dimensional Magnetotelluric Inverse Problem
The necessary and sufficient conditions for the existence of a solution to the one-dimensional magnetotelluric inverse problem are extended to error data. The confidence criterion is defined and used for testing the existence of a one-dimensional solution when data errors are considered. Synthetic data sets and two very popular real data sets are tested using this new confidence criterion.