{"title":"On Gaussian triangular arrays in the case of strong dependence","authors":"Evgeniy Savinov","doi":"10.1007/s10687-024-00491-3","DOIUrl":null,"url":null,"abstract":"<p>We investigate the behavior of extreme values in Gaussian triangular arrays under strong dependence conditions. By extending previous results, we establish conditions for convergence to a mixture of Gaussian and Gumbel distributions without requiring stationarity. Our findings offer insights into the application of these models, particularly for analyzing air ozone concentrations.</p>","PeriodicalId":49274,"journal":{"name":"Extremes","volume":"9 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Extremes","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10687-024-00491-3","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
We investigate the behavior of extreme values in Gaussian triangular arrays under strong dependence conditions. By extending previous results, we establish conditions for convergence to a mixture of Gaussian and Gumbel distributions without requiring stationarity. Our findings offer insights into the application of these models, particularly for analyzing air ozone concentrations.
ExtremesMATHEMATICS, INTERDISCIPLINARY APPLICATIONS-STATISTICS & PROBABILITY
CiteScore
2.20
自引率
7.70%
发文量
15
审稿时长
>12 weeks
期刊介绍：
Extremes publishes original research on all aspects of statistical extreme value theory and its applications in science, engineering, economics and other fields. Authoritative and timely reviews of theoretical advances and of extreme value methods and problems in important applied areas, including detailed case studies, are welcome and will be a regular feature. All papers are refereed. Publication will be swift: in particular electronic submission and correspondence is encouraged.
Statistical extreme value methods encompass a very wide range of problems: Extreme waves, rainfall, and floods are of basic importance in oceanography and hydrology, as are high windspeeds and extreme temperatures in meteorology and catastrophic claims in insurance. The waveforms and extremes of random loads determine lifelengths in structural safety, corrosion and metal fatigue.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
