A note on inconsistency of NPMLE of the distribution function from left truncated and case I interval censored data

被引：15

作者：

Pan, W ^{[1
]}

Chappell, R

机构：

[1] Univ Minnesota, Div Biostat, Minneapolis, MN 55455 USA

[2] Univ Wisconsin, Dept Stat, Madison, WI 53706 USA

[3] Univ Wisconsin, Dept Biostat, Madison, WI 53706 USA

来源：

LIFETIME DATA ANALYSIS | 1999年 / 5卷 / 03期

关键词：

cumulative hazard function; EM algorithm; survival analysis; vague convergence;

D O I：

10.1023/A:1009632400580

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that under reasonable conditions the nonparametric maximum likelihood estimate (NPMLE) of the distribution function from left-truncated and case 1 interval-censored data is inconsistent, in contrast to the consistency properties of the NPMLE from only left-truncated data or only interval-censored data. However, the conditional NPMLE is shown to be consistent. Numerical examples are provided to illustrate their finite sample properties.

引用

页码：281 / 291

页数：11

共 14 条

[1]

Bacchetti P, 1995, Lifetime Data Anal, V1, P35, DOI 10.1007/BF00985256

[2] SAMPLING DESIGN OF MULTIWAVE STUDIES WITH AN APPLICATION TO THE MASSACHUSETTS HEALTH-CARE PANEL STUDY [J].