The Power Series Cure Rate Model: An Application to a Cutaneous Melanoma Data

被引：27
|
作者：
Cancho, Vicente G. [1 ]
Louzada, Francisco [1 ]
Ortega, Edwin M. [1 ]
机构：
[1] Univ Sao Paulo SP, Dept Appl Math & Stat, Dept Exact Sci, BR-13566590 Sao Carlos, SP, Brazil
来源：
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2013年 / 42卷 / 03期
关键词：
Competing Risks; Cure rate models; Power series distribution; INFLUENCE DIAGNOSTICS; REGRESSION-MODELS; SURVIVAL-DATA;
D O I：
10.1080/03610918.2011.639971
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this article we propose a new cure rate survival model. In our approach the number of competing causes of the event of interest is assumed to follow an exponential discrete power series distribution. An advantage of our model is that it is very flexible, including several particular cases, such as, Bernoulli, geometric, Poisson, etc. Moreover, we derive the appropriate matrices for assessing local influence on the parameter estimates under different perturbation schemes and present some ways to perform global influence analysis. Distribution fitting can be tested for the best fitting in a straightforward way. Maximum likelihood estimation is discussed. Our proposed model is illustrated through cutaneous melanoma data.
引用
收藏
页码：586 / 602
页数：17
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