{"title":"基于 M 估计的一类分歧的勾股定理和投影定理的统一方法","authors":"Atin Gayen, Sayantan Roy, Aditi Kar Gangopadhyay","doi":"10.1080/02331888.2024.2372596","DOIUrl":null,"url":null,"abstract":"Divergences that satisfy Pythagorean-type identity are found to be quite useful in statistical inference. Projection theorem of these divergences explores the associated inference problems through ...","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"33 1","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A unified approach to the Pythagorean identity and projection theorem for a class of divergences based on M-estimations\",\"authors\":\"Atin Gayen, Sayantan Roy, Aditi Kar Gangopadhyay\",\"doi\":\"10.1080/02331888.2024.2372596\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Divergences that satisfy Pythagorean-type identity are found to be quite useful in statistical inference. Projection theorem of these divergences explores the associated inference problems through ...\",\"PeriodicalId\":54358,\"journal\":{\"name\":\"Statistics\",\"volume\":\"33 1\",\"pages\":\"\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2024-07-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/02331888.2024.2372596\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/02331888.2024.2372596","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
A unified approach to the Pythagorean identity and projection theorem for a class of divergences based on M-estimations
Divergences that satisfy Pythagorean-type identity are found to be quite useful in statistical inference. Projection theorem of these divergences explores the associated inference problems through ...
期刊介绍:
Statistics publishes papers developing and analysing new methods for any active field of statistics, motivated by real-life problems. Papers submitted for consideration should provide interesting and novel contributions to statistical theory and its applications with rigorous mathematical results and proofs. Moreover, numerical simulations and application to real data sets can improve the quality of papers, and should be included where appropriate. Statistics does not publish papers which represent mere application of existing procedures to case studies, and papers are required to contain methodological or theoretical innovation. Topics of interest include, for example, nonparametric statistics, time series, analysis of topological or functional data. Furthermore the journal also welcomes submissions in the field of theoretical econometrics and its links to mathematical statistics.