{"title":"关于二元马歇尔-奥尔金分布的最大相关系数","authors":"Axel Bücher, Torben Staud","doi":"arxiv-2409.08661","DOIUrl":null,"url":null,"abstract":"We prove a formula for the maximal correlation coefficient of the bivariate\nMarshall Olkin distribution that was conjectured in Lin, Lai, and Govindaraju\n(2016, Stat. Methodol., 29:1-9). The formula is applied to obtain a new proof\nfor a variance inequality in extreme value statistics that links the disjoint\nand the sliding block maxima method.","PeriodicalId":501379,"journal":{"name":"arXiv - STAT - Statistics Theory","volume":"16 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the maximal correlation coefficient for the bivariate Marshall Olkin distribution\",\"authors\":\"Axel Bücher, Torben Staud\",\"doi\":\"arxiv-2409.08661\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove a formula for the maximal correlation coefficient of the bivariate\\nMarshall Olkin distribution that was conjectured in Lin, Lai, and Govindaraju\\n(2016, Stat. Methodol., 29:1-9). The formula is applied to obtain a new proof\\nfor a variance inequality in extreme value statistics that links the disjoint\\nand the sliding block maxima method.\",\"PeriodicalId\":501379,\"journal\":{\"name\":\"arXiv - STAT - Statistics Theory\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - STAT - Statistics Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.08661\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - STAT - Statistics Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08661","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the maximal correlation coefficient for the bivariate Marshall Olkin distribution
We prove a formula for the maximal correlation coefficient of the bivariate
Marshall Olkin distribution that was conjectured in Lin, Lai, and Govindaraju
(2016, Stat. Methodol., 29:1-9). The formula is applied to obtain a new proof
for a variance inequality in extreme value statistics that links the disjoint
and the sliding block maxima method.