{"title":"Le comportement des oscillations du processus empirique composé","authors":"Myriam Maumy","doi":"10.1016/S0764-4442(01)02185-1","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we establish a limit theorem for the local behavior of compound empirical processes based on two independent sequences of independent and identically distributed random variables. Our proofs rely on Poisson approximation methods.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 12","pages":"Pages 1101-1104"},"PeriodicalIF":0.0000,"publicationDate":"2001-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02185-1","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021851","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we establish a limit theorem for the local behavior of compound empirical processes based on two independent sequences of independent and identically distributed random variables. Our proofs rely on Poisson approximation methods.