{"title":"用分位数函数表示的二元分布的性质","authors":"N. Unnikrishnan Nair, B. Vineshkumar","doi":"10.1080/01966324.2021.2016522","DOIUrl":null,"url":null,"abstract":"Abstract Recently, Vineshkumar and Nair (2019) have discussed the applications of bivariate quantile functions in the context of reliability analysis. But, the general properties of bivariate quantile functions have not been considered in their work. In the present paper, we carry out a preliminary study on the properties of bivariate distributions represented through quantile functions. The uses of the new results are illustrated in the case of a bivariate quantile function model by deriving their properties and then applying them to real data.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":"42 1","pages":"1 - 12"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Properties of Bivariate Distributions Represented through Quantile Functions\",\"authors\":\"N. Unnikrishnan Nair, B. Vineshkumar\",\"doi\":\"10.1080/01966324.2021.2016522\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Recently, Vineshkumar and Nair (2019) have discussed the applications of bivariate quantile functions in the context of reliability analysis. But, the general properties of bivariate quantile functions have not been considered in their work. In the present paper, we carry out a preliminary study on the properties of bivariate distributions represented through quantile functions. The uses of the new results are illustrated in the case of a bivariate quantile function model by deriving their properties and then applying them to real data.\",\"PeriodicalId\":35850,\"journal\":{\"name\":\"American Journal of Mathematical and Management Sciences\",\"volume\":\"42 1\",\"pages\":\"1 - 12\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"American Journal of Mathematical and Management Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/01966324.2021.2016522\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Business, Management and Accounting\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Journal of Mathematical and Management Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/01966324.2021.2016522","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Business, Management and Accounting","Score":null,"Total":0}
Properties of Bivariate Distributions Represented through Quantile Functions
Abstract Recently, Vineshkumar and Nair (2019) have discussed the applications of bivariate quantile functions in the context of reliability analysis. But, the general properties of bivariate quantile functions have not been considered in their work. In the present paper, we carry out a preliminary study on the properties of bivariate distributions represented through quantile functions. The uses of the new results are illustrated in the case of a bivariate quantile function model by deriving their properties and then applying them to real data.
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