{"title":"Weakly Supercritical Branching Process in a Random Environment Dying at a Distant Moment","authors":"V. I. Afanasyev","doi":"10.1137/s0040585x97t991611","DOIUrl":null,"url":null,"abstract":"Theory of Probability &Its Applications, Volume 68, Issue 4, Page 537-558, February 2024. <br/> A functional limit theorem is proved for a weakly supercritical branching process in a random environment under the condition that the process becomes extinct after time $n\\to \\infty $.","PeriodicalId":51193,"journal":{"name":"Theory of Probability and its Applications","volume":"17 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theory of Probability and its Applications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1137/s0040585x97t991611","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
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Abstract
Theory of Probability &Its Applications, Volume 68, Issue 4, Page 537-558, February 2024. A functional limit theorem is proved for a weakly supercritical branching process in a random environment under the condition that the process becomes extinct after time $n\to \infty $.
期刊介绍：
Theory of Probability and Its Applications (TVP) accepts original articles and communications on the theory of probability, general problems of mathematical statistics, and applications of the theory of probability to natural science and technology. Articles of the latter type will be accepted only if the mathematical methods applied are essentially new.
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