{"title":"关于沿子序列的几乎确定中心极限定理","authors":"I. Berkes, E. Csáki","doi":"10.1556/314.2022.00002","DOIUrl":null,"url":null,"abstract":"Generalizing results of Schatte [11] and Atlagh and Weber [2], in this paper we give conditions for a sequence of random variables to satisfy the almost sure central limit theorem along a given sequence of integers.","PeriodicalId":383314,"journal":{"name":"Mathematica Pannonica","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Almost Sure Central Limit Theorem Along Subsequences\",\"authors\":\"I. Berkes, E. Csáki\",\"doi\":\"10.1556/314.2022.00002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Generalizing results of Schatte [11] and Atlagh and Weber [2], in this paper we give conditions for a sequence of random variables to satisfy the almost sure central limit theorem along a given sequence of integers.\",\"PeriodicalId\":383314,\"journal\":{\"name\":\"Mathematica Pannonica\",\"volume\":\"19 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-02-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Pannonica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1556/314.2022.00002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Pannonica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1556/314.2022.00002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文推广了Schatte[11]和Atlagh and Weber[2]的结果，给出了随机变量序列沿给定整数序列满足几乎确定中心极限定理的条件。
On the Almost Sure Central Limit Theorem Along Subsequences
Generalizing results of Schatte [11] and Atlagh and Weber [2], in this paper we give conditions for a sequence of random variables to satisfy the almost sure central limit theorem along a given sequence of integers.
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