Two new defective distributions based on the Marshall–Olkin extension
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- 作者：Ricardo Rocha ; Saralees Nadarajah ; Vera Tomazella…
- 关键词：Cure fraction ; Defective models ; Gompertz distribution ; Inverse Gaussian distribution ; Marshall–Olkin family ; Survival analysis
- 刊名：Lifetime Data Analysis
- 出版年：2016
- 出版时间：April 2016
- 年：2016
- 卷：22
- 期：2
- 页码：216-240
- 全文大小：1,503 KB
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Saralees Nadarajah (2)
Vera Tomazella (1)
Francisco Louzada (3)
1. Departamento de Estatística, Universidade Federal de São Carlos, São Carlos, SP, Brasil
2. School of Mathematics, University of Manchester, Manchester, UK
3. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, São Carlos, SP, Brasil - 刊物类别：Mathematics and Statistics
- 刊物主题：Statistics
Statistics
Statistics for Life Sciences, Medicine and Health Sciences
Quality Control, Reliability, Safety and Risk
Statistics for Business, Economics, Mathematical Finance and Insurance
Operation Research and Decision Theory - 出版者：Springer Netherlands
- ISSN：1572-9249
文摘
The presence of immune elements (generating a fraction of cure) in survival data is common. These cases are usually modeled by the standard mixture model. Here, we use an alternative approach based on defective distributions. Defective distributions are characterized by having density functions that integrate to values less than \(1\), when the domain of their parameters is different from the usual one. We use the Marshall–Olkin class of distributions to generalize two existing defective distributions, therefore generating two new defective distributions. We illustrate the distributions using three real data sets.