Gamma frailty models for bivariate survival data

被引：23

作者：

Hanagal, David D. ^{[1
]}

Pandey, Arvind ^{[1
]}

机构：

[1] Univ Pune, Dept Stat, Pune 411007, Maharashtra, India

来源：

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION | 2015年 / 85卷 / 15期

关键词：

Bayesian model comparison; copula; gamma frailty; generalized log-logistic distribution; generalized Weibull distribution; MCMC; shared frailty; HETEROGENEITY; DISTRIBUTIONS; ASSOCIATION;

D O I：

10.1080/00949655.2014.958086

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we introduce the shared gamma frailty models with two different baseline distributions namely, the generalized log-logistic and the generalized Weibull. We introduce the Bayesian estimation procedure to estimate the parameters involved in these models. We present a simulation study to compare the true values of the parameters with the estimated values. We apply these models to a real-life bivariate survival data set of McGilchrist and Aisbett related to the kidney infection data and a better model is suggested for the data.

引用

页码：3172 / 3189

页数：18

共 30 条

[1] Akaike H., 1973, 2 INT S INFORM THEOR, P267
[2] BACON RW, 1993, OXFORD B ECON STAT, V55, P355
[3] Chen M-H., 2001, Bayesian Survival Analysis
[4] MULTIVARIATE GENERALIZATIONS OF THE PROPORTIONAL HAZARDS MODEL
CLAYTON, D
CUZICK, J
[J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY, 1985, 148 : 82 - 117
[5] CLAYTON DG, 1978, BIOMETRIKA, V65, P141, DOI 10.1093/biomet/65.1.141
[6] CROWDER M, 1985, J R STAT SOC B, V47, P447
[7] Deshpande J., 2005, Life time Data: Statistical Models and methods, V1st
[8] Gelman A., 1991, BAYESIAN STAT, V4, P625, DOI DOI 10.1093/OSO/9780198522669.003.0038
[9] THE JOY OF COPULAS - BIVARIATE DISTRIBUTIONS WITH UNIFORM MARGINALS
GENEST, C
MACKAY, J
[J]. AMERICAN STATISTICIAN, 1986, 40 (04) : 280 - 283
[10] Geweke J., 1992, Bayesian Statistics, V4, P169, DOI [10.1093/oso/9780198522669.003.0010, DOI 10.1093/OSO/9780198522669.003.0010]

← 1 2 3 →