Two new defective distributions based on the Marshall-Olkin extension

被引：11

作者：

Rocha, Ricardo ^{[1
]}

Nadarajah, Saralees ^{[2
]}

Tomazella, Vera ^{[1
]}

Louzada, Francisco ^{[3
]}

机构：

[1] Univ Fed Sao Carlos, Dept Estat, BR-13560 Sao Carlos, SP, Brazil

[2] Univ Manchester, Sch Math, Manchester, Lancs, England

[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Sao Carlos, SP, Brazil

来源：

LIFETIME DATA ANALYSIS | 2016年 / 22卷 / 02期

关键词：

Cure fraction; Defective models; Gompertz distribution; Inverse Gaussian distribution; Marshall-Olkin family; Survival analysis; MODEL; REGRESSION; INFERENCE; FAMILY;

D O I：

10.1007/s10985-015-9328-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 , 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.

引用

页码：216 / 240

页数：25

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