文章基本信息

标题：A New Long-Term Survival Distribution for Cancer Data
本地全文：下载
作者：Mari Roman ; Francisco Louzada ; Vicente G. Cancho 等
期刊名称：Journal of Data Science
印刷版ISSN：1680-743X
电子版ISSN：1683-8602
出版年度：2012
卷号：10
期号：2
页码：241-258
出版社：Tingmao Publish Company
摘要：In this paper we propose a new three-parameters lifetime distribu-tion with decreasing hazard function, the long-term exponential geometricdistribution. The new distribution arises on latent competing risks scenarios,where the lifetime associated with a particular risk is not observable, ratherwe observe only the minimum lifetime value among all risks, and there ispresence of long-term survival. The properties of the proposed distributionare discussed, including its probability density function and explicit algebraicformulas for its survival and hazard functions, order statistics, Bonferronifunction and the Lorenz curve. The parameter estimation is based on theusual maximum likelihood approach. We compare the new distribution withits particular case, the long-term exponential distribution, as well as withthe long-term Weibull distribution on two real datasets, observing its poten-tial and competitiveness in comparison with an usual lifetime distribution.
关键词：Censored data; exponential geometric distribution; latent com-;peting risks; long-term survivals.