{"title":"A Note on Exact Laws of Large Numbers for Asymmetric Pareto-type Distributions with Applications to Ratios of Random Variables","authors":"P. Matuła, Pawel Kurasinski, H. Naderi, A. Adler","doi":"10.21915/bimas.2020205","DOIUrl":null,"url":null,"abstract":"We prove some unusual limit laws for weighted sums of i.i.d. random variables with asymmetric Pareto-type distributions. The obtained results are applied to the convergence of ratios of independent random variables.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"1 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Institute of Mathematics Academia Sinica New Series","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21915/bimas.2020205","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: 4
Abstract
We prove some unusual limit laws for weighted sums of i.i.d. random variables with asymmetric Pareto-type distributions. The obtained results are applied to the convergence of ratios of independent random variables.
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