{"title":"论离散随机变量极值的渐近特性","authors":"Kateryna Akbash , Natalia Doronina , Ivan Matsak","doi":"10.1016/j.spl.2024.110224","DOIUrl":null,"url":null,"abstract":"<div><p>The article examines the almost sure asymptotic behaviour of extreme values of discrete random variables. We consider the case of random variables whose tails of the distribution are close to the tails of the geometric distribution or decrease faster.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the asymptotic properties of extreme values of discrete random variables\",\"authors\":\"Kateryna Akbash , Natalia Doronina , Ivan Matsak\",\"doi\":\"10.1016/j.spl.2024.110224\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The article examines the almost sure asymptotic behaviour of extreme values of discrete random variables. We consider the case of random variables whose tails of the distribution are close to the tails of the geometric distribution or decrease faster.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167715224001937\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167715224001937","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the asymptotic properties of extreme values of discrete random variables
The article examines the almost sure asymptotic behaviour of extreme values of discrete random variables. We consider the case of random variables whose tails of the distribution are close to the tails of the geometric distribution or decrease faster.