A Bayesian semiparametric regression model for current status data

被引:0
作者
Hariharan, Pavithra [1 ]
Sankaran, P. G. [1 ]
Variyath, Asokan Mulayath [2 ]
机构
[1] Cochin Univ Sci & Technol, Dept Stat, Kochi, Kerala, India
[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF, Canada
关键词
Bayesian inference; Current status data; Metropolis Hastings algorithm; The proportional hazards model; PROPORTIONAL HAZARDS MODEL; ODDS MODELS;
D O I
10.1080/03610918.2023.2266153
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 survival analysis, interval censoring case I or current status censoring happens if each subject is observed only once for status of occurrence of the event of interest. Current status data often appear along with covariates in cross sectional studies and tumorigenicity studies. Cox's proportional hazards model has been widely used to explore the relationship between lifetime variable and covariates. In this paper we propose a novel and easy to implement Bayesian approach for analyzing current status data. Under proportional hazards model, baseline survival function and regression parameters are estimated assuming proper prior distributions and implementing Metropolis Hastings algorithm for posterior computation. Methods for both model selection and model validation are suggested. Finite sample performance of the proposed method is evaluated using simulation studies. Intraocular lenses calcification data are analyzed for illustration.
引用
收藏
页码:824 / 836
页数:13
相关论文
共 32 条
[1]   Bayesian analysis of multivariate survival data using Monte Carlo methods [J].
Aslanidou, H ;
Dey, DK ;
Sinha, D .
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1998, 26 (01) :33-48
[2]   Bayesian proportional hazards model for current status data with monotone splines [J].
Cai, Bo ;
Lin, Xiaoyan ;
Wang, Lianming .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2011, 55 (09) :2644-2651
[3]  
Dey D. K., 1998, BRAZ J PROBAB STAT, V12, P113
[4]   Bayesian approach for nonlinear random effects models [J].
Dey, DK ;
Chen, MH ;
Chang, H .
BIOMETRICS, 1997, 53 (04) :1239-1252
[5]   PROPORTIONAL HAZARDS MODELS FOR CURRENT STATUS DATA - APPLICATION TO THE STUDY OF DIFFERENTIALS IN AGE AT WEANING IN PAKISTAN [J].
DIAMOND, ID ;
MCDONALD, JW ;
SHAH, IH .
DEMOGRAPHY, 1986, 23 (04) :607-620
[6]   A PROPORTIONAL HAZARDS MODEL FOR INTERVAL-CENSORED FAILURE TIME DATA [J].
FINKELSTEIN, DM .
BIOMETRICS, 1986, 42 (04) :845-854
[7]  
Gelfand A. E., 1994, 479 STANF U DEP STAT
[8]  
Gelfand AE., 1992, Bayesian Statistics, V4, P147, DOI DOI 10.1093/OSO/9780198522669.003.0009
[9]  
Groeneboom P., 1992, INFORM BOUNDS NONPAR
[10]  
Huang J, 1996, ANN STAT, V24, P540