Daniel J McDonald, Cosma Rohilla Shalizi, Mark Schervish
{"title":"Estimating beta-mixing coefficients.","authors":"Daniel J McDonald, Cosma Rohilla Shalizi, Mark Schervish","doi":"","DOIUrl":null,"url":null,"abstract":"<p><p>The literature on statistical learning for time series assumes the asymptotic independence or \"mixing\" of the data-generating process. These mixing assumptions are never tested, and there are no methods for estimating mixing rates from data. We give an estimator for the beta-mixing rate based on a single stationary sample path and show it is L1-risk consistent.</p>","PeriodicalId":89793,"journal":{"name":"JMLR workshop and conference proceedings","volume":"15 ","pages":"516-524"},"PeriodicalIF":0.0000,"publicationDate":"2011-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4537076/pdf/nihms697610.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JMLR workshop and conference proceedings","FirstCategoryId":"1085","ListUrlMain":"","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The literature on statistical learning for time series assumes the asymptotic independence or "mixing" of the data-generating process. These mixing assumptions are never tested, and there are no methods for estimating mixing rates from data. We give an estimator for the beta-mixing rate based on a single stationary sample path and show it is L1-risk consistent.