{"title":"无有限方差临界Galton-Watson分支过程条件分布的极限定理","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":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":null,\"pages\":null},\"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}","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}
Limit theorems for conditional distributions of critical Galton-Watson branching processes without finite variance
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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