{"title":"Limit theorems for conditional distributions of critical Galton-Watson branching processes without finite variance","authors":"Y. Khusanbaev, Kh.A. Toshkulov","doi":"10.37863/tsp-3639580555-63","DOIUrl":null,"url":null,"abstract":"\nIn this paper we consider critical Galton-Watson branching processes Zk, k ≥ 0 in the case when the number of direct offspring of one particle has infinite variance. Limit theorems for conditional distributions of Zk are proved.\n","PeriodicalId":38143,"journal":{"name":"Theory of Stochastic Processes","volume":"31 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theory of Stochastic Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37863/tsp-3639580555-63","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we consider critical Galton-Watson branching processes Zk, k ≥ 0 in the case when the number of direct offspring of one particle has infinite variance. Limit theorems for conditional distributions of Zk are proved.
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