{"title":"Long Range Dependence","authors":"G. Samorodnitsky","doi":"10.1561/0900000004","DOIUrl":null,"url":null,"abstract":"The notion of long range dependence is discussed from a variety of points of view, and a new approach is suggested. A number of related topics is also discussed, including connections with non-stationary processes, with ergodic theory, self-similar processes and fractionally differenced processes, heavy tails and light tails, limit theorems and large deviations.","PeriodicalId":156024,"journal":{"name":"Found. Trends Stoch. Syst.","volume":"65 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"347","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Found. Trends Stoch. Syst.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1561/0900000004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 347
Abstract
The notion of long range dependence is discussed from a variety of points of view, and a new approach is suggested. A number of related topics is also discussed, including connections with non-stationary processes, with ergodic theory, self-similar processes and fractionally differenced processes, heavy tails and light tails, limit theorems and large deviations.