{"title":"Generalized K‐Variate Proportional Hazard Function For Censored Survival Data","authors":"Hilmi Fadel Kittani","doi":"10.1111/stan.12327","DOIUrl":null,"url":null,"abstract":"This note develops a generalized ‐variate hazard function for censored data in survival analysis. It introduces a generalized recursive formula, extending the bivariate and trivariate cases introduced by Clayton and Cuzick (1985, Journal of the Royal Statistical Society: Series A (General) , 148(2):82–108) and Kittani (1995, Journal of Mathematical Sciences , 67–74), respectively. The newly developed function is explicitly specified by association parameters and marginal hazard functions.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"74 2","pages":"0"},"PeriodicalIF":1.4000,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistica Neerlandica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1111/stan.12327","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0
Abstract
This note develops a generalized ‐variate hazard function for censored data in survival analysis. It introduces a generalized recursive formula, extending the bivariate and trivariate cases introduced by Clayton and Cuzick (1985, Journal of the Royal Statistical Society: Series A (General) , 148(2):82–108) and Kittani (1995, Journal of Mathematical Sciences , 67–74), respectively. The newly developed function is explicitly specified by association parameters and marginal hazard functions.
本文发展了生存分析中截尾数据的广义变量风险函数。它引入了一个广义的递归公式，扩展了Clayton和Cuzick (1985, Journal of Royal Statistical Society: Series a (General)， 148(2): 82-108)和Kittani (1995, Journal of Mathematical Sciences, 67-74)分别介绍的二元和三变量情况。该函数由关联参数和边际风险函数明确表示。
期刊介绍：
Statistica Neerlandica has been the journal of the Netherlands Society for Statistics and Operations Research since 1946. It covers all areas of statistics, from theoretical to applied, with a special emphasis on mathematical statistics, statistics for the behavioural sciences and biostatistics. This wide scope is reflected by the expertise of the journal’s editors representing these areas. The diverse editorial board is committed to a fast and fair reviewing process, and will judge submissions on quality, correctness, relevance and originality. Statistica Neerlandica encourages transparency and reproducibility, and offers online resources to make data, code, simulation results and other additional materials publicly available.
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