{"title":"二元分位数函数及其在可靠性建模中的应用","authors":"B. Vineshkumar, N. Nair","doi":"10.6092/ISSN.1973-2201/8024","DOIUrl":null,"url":null,"abstract":"In this paper we propose a new definition of bivariate quantile function suited for reliability modelling and illustrate its applications. The bivariate hazard and mean residual quantile functions are defined and their properties are studied. Examples of generating new quantile functions and application of the results to model data are provided.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"79 1","pages":"3-21"},"PeriodicalIF":1.6000,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Bivariate Quantile Functions and their Applications to Reliability Modelling\",\"authors\":\"B. Vineshkumar, N. Nair\",\"doi\":\"10.6092/ISSN.1973-2201/8024\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we propose a new definition of bivariate quantile function suited for reliability modelling and illustrate its applications. The bivariate hazard and mean residual quantile functions are defined and their properties are studied. Examples of generating new quantile functions and application of the results to model data are provided.\",\"PeriodicalId\":45117,\"journal\":{\"name\":\"Statistica\",\"volume\":\"79 1\",\"pages\":\"3-21\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2019-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Statistica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6092/ISSN.1973-2201/8024\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6092/ISSN.1973-2201/8024","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
Bivariate Quantile Functions and their Applications to Reliability Modelling
In this paper we propose a new definition of bivariate quantile function suited for reliability modelling and illustrate its applications. The bivariate hazard and mean residual quantile functions are defined and their properties are studied. Examples of generating new quantile functions and application of the results to model data are provided.
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