{"title":"广义误差分布的幂阶统计量的收敛速度","authors":"Yuhan Zou, Yingyin Lu, Zuoxiang Peng","doi":"10.1080/24754269.2022.2146955","DOIUrl":null,"url":null,"abstract":"Let be a sequence of independent random variables with common general error distribution with shape parameter v>0, and let denote the r-th largest order statistics of . With different normalizing constants the distributional expansions and the uniform convergence rates of normalized powered order statistics are established. An alternative method is presented to estimate the probability of the r-th extremes. Numerical analyses are provided to support the main results.","PeriodicalId":22070,"journal":{"name":"Statistical Theory and Related Fields","volume":"7 1","pages":"1 - 29"},"PeriodicalIF":0.7000,"publicationDate":"2022-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Rates of convergence of powered order statistics from general error distribution\",\"authors\":\"Yuhan Zou, Yingyin Lu, Zuoxiang Peng\",\"doi\":\"10.1080/24754269.2022.2146955\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let be a sequence of independent random variables with common general error distribution with shape parameter v>0, and let denote the r-th largest order statistics of . With different normalizing constants the distributional expansions and the uniform convergence rates of normalized powered order statistics are established. An alternative method is presented to estimate the probability of the r-th extremes. Numerical analyses are provided to support the main results.\",\"PeriodicalId\":22070,\"journal\":{\"name\":\"Statistical Theory and Related Fields\",\"volume\":\"7 1\",\"pages\":\"1 - 29\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2022-11-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistical Theory and Related Fields\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://doi.org/10.1080/24754269.2022.2146955\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistical Theory and Related Fields","FirstCategoryId":"96","ListUrlMain":"https://doi.org/10.1080/24754269.2022.2146955","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
Rates of convergence of powered order statistics from general error distribution
Let be a sequence of independent random variables with common general error distribution with shape parameter v>0, and let denote the r-th largest order statistics of . With different normalizing constants the distributional expansions and the uniform convergence rates of normalized powered order statistics are established. An alternative method is presented to estimate the probability of the r-th extremes. Numerical analyses are provided to support the main results.
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