CRAMER VON MISES STATISTIC FOR RANDOMLY CENSORED DATA
成果类型：
Article
署名作者：
KOZIOL, JA; GREEN, SB
署名单位：
National Institutes of Health (NIH) - USA; NIH National Cancer Institute (NCI)
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.2307/2335723
发表日期：
1976
页码：
465474
关键词：
摘要：
The asymptotic distributions of Cramer-von Mises type statistics based on the product-limit estimate of the distribution function of a certain class of randomly censored observations are derived; the asymptotic significance points of the statistics for various degrees of censoring are given. The statistics are also partitioned into orthogonal components in the manner of Durbin et Knott. The asymptotic powers of the statistics and their components against normal mean and variance shifts, exponential scale shifts, and Weibull alternatives to exponentiality are compared. Data arising in a competing risk situation are examined, using the Cramer-von Mises statistic. An important problem in the analysis of survival data is whether the observed survival pattern for a cohort of individuals can be closely explained by a particular mathematical model with readily interpretable characteristics.