{"title":"依赖 M 的成对实数和多值随机变量双序列的强大数定律","authors":"El-Moustafid Mohamed, M’hamed El-Louh, Fatima Ezzaki","doi":"10.1007/s43036-024-00318-9","DOIUrl":null,"url":null,"abstract":"<div><p>The strong law of large numbers for a double sequence of pairwise <i>M</i>-dependent random variables is established. An extension to Kuratowski-convergence of the strong law of large numbers for a double sequence of pairwise <i>M</i>-dependent multivalued random variables with closed values is stated.</p></div>","PeriodicalId":44371,"journal":{"name":"Advances in Operator Theory","volume":"9 2","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Strong law of large numbers for double sequences of pairwise M-dependent real and multivalued random variables\",\"authors\":\"El-Moustafid Mohamed, M’hamed El-Louh, Fatima Ezzaki\",\"doi\":\"10.1007/s43036-024-00318-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The strong law of large numbers for a double sequence of pairwise <i>M</i>-dependent random variables is established. An extension to Kuratowski-convergence of the strong law of large numbers for a double sequence of pairwise <i>M</i>-dependent multivalued random variables with closed values is stated.</p></div>\",\"PeriodicalId\":44371,\"journal\":{\"name\":\"Advances in Operator Theory\",\"volume\":\"9 2\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Operator Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s43036-024-00318-9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Operator Theory","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s43036-024-00318-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
建立了成对 M 依赖随机变量双序列的强大数定律。阐述了具有闭值的成对 M 依赖多值随机变量双序列的强大数定律的库拉托夫斯基收敛扩展。
Strong law of large numbers for double sequences of pairwise M-dependent real and multivalued random variables
The strong law of large numbers for a double sequence of pairwise M-dependent random variables is established. An extension to Kuratowski-convergence of the strong law of large numbers for a double sequence of pairwise M-dependent multivalued random variables with closed values is stated.
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