ON THE KOZIOL-GREEN MODEL FOR RANDOM CENSORSHIP
成果类型：
Article
署名作者：
CSORGO, S; HORVATH, L
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.2307/2335584
发表日期：
1981
页码：
391401
关键词：
摘要：
In the Koziol-Green (1976) model of random censorship the survival distribution of the censoring variables is some power, the censoring parameter, of the survival distribution of the lifetimes. Using a strong approximation result of Burke, Csorgo and Horvath, empirical exact confidence bands were constructed for the life distribution of the censored variable and a randomly Efron-transformed variant of the usual product-limit process is shown to converge weakly to the Brownian motion process on any interval [O,T] when the censoring parameter is also estimated from the sample. The technique automatically gives rates of convergence for a wide class of functionals including the Cramer-von Mises functional whose limit theory is worked out in detail. The latter goodness-of-fit statistic is applied to reexamine the hospital data of Koziol and Green (1976) to test whether estrogen treatment for prostatic cancer was effective or not for the cancer itself while it caused censoring deaths of cardiovascular diseases.