A double exponential gamma-frailty model for clustered survival data

被引：0

作者：

Xie, Mengqi ^{[1
]}

Zhou, Jie ^{[1
]}

Liu, Lei ^{[2
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Washington Univ, Div Biostat, St Louis, MO USA

来源：

JOURNAL OF NONPARAMETRIC STATISTICS | 2024年

基金：

中国国家自然科学基金;

关键词：

clustered data; frailty; survival analysis; Bernstein polynomial; sieve estimator; LIKELIHOOD-ESTIMATION; REGRESSION; HETEROGENEITY; READMISSION;

D O I：

10.1080/10485252.2024.2304115

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：

We propose a double exponential gamma-frailty model for clustered survival data. This model addresses the limitation of shared gamma-frailty models, where the marginal effects of covariates diminish over time. To estimate parameters, we utilise a sieve maximum likelihood approach and employ Bernstein polynomials for approximating nondecreasing cumulative baseline functions. The estimators' asymptotic properties are also provided. The proposed method is demonstrated through numerical simulations and survival data from a diabetic retinopathy study and a colorectal cancer study.

引用

页数：24

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