{"title":"具有强烈混合误差的简单回归参数的置信椭圆","authors":"Abdelkader Elmoumen, Halima Zerouati, A. Dahmani","doi":"10.2298/fil2302591e","DOIUrl":null,"url":null,"abstract":"In this work, we establish exponential inequalities which allow us to construct confidence regions, characterized by ellipses, for the least squares estimates of the parameters in the case of a linear regression model with ?-mixing errors.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Confidence ellipses for simple regression parameters with strongly mixing errors\",\"authors\":\"Abdelkader Elmoumen, Halima Zerouati, A. Dahmani\",\"doi\":\"10.2298/fil2302591e\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we establish exponential inequalities which allow us to construct confidence regions, characterized by ellipses, for the least squares estimates of the parameters in the case of a linear regression model with ?-mixing errors.\",\"PeriodicalId\":12305,\"journal\":{\"name\":\"Filomat\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Filomat\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2298/fil2302591e\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Filomat","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/fil2302591e","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Confidence ellipses for simple regression parameters with strongly mixing errors
In this work, we establish exponential inequalities which allow us to construct confidence regions, characterized by ellipses, for the least squares estimates of the parameters in the case of a linear regression model with ?-mixing errors.