A proportional hazards model for arbitrarily censored and truncated data

被引:81
作者
Alioum, A
Commenges, D
机构
[1] INSERM U. 330, Université de Bordeaux II, 33076 Bordeaux Cedex, 146, rue Léo-Saignat
关键词
identifiability; interval censoring; NPMLE; proportional hazards; truncation;
D O I
10.2307/2532891
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Turnbull (1976, Journal of Royal Statistical Society, Series B 38, 290-295) proposed a method for nonparametric estimation of the distribution function when the data are incomplete because of censoring and truncation. However, as noted by Frydman (1994, Journal of Royal Statistical Society, Series B 56, 71-74), Turnbull's method has to be modified to accommodate both truncation and censoring. This paper presents a detailed correction of Turnbull's method and an extension to the regression analysis: a method of fitting the proportional hazards model for arbitrarily censored and truncated data is-developed. The method allows partial testing for zero regression coefficients. The test-can be performed using the likelihood ratio test or the Wald test. The methodology is applied to estimate the distribution of the induction time of patients diagnosed with transfusion-associated AIDS and to estimate the distribution of time from diabetes onset to development of diabetic nephropathy for insulin-dependent diabetics.
引用
收藏
页码:512 / 524
页数:13
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