Confidence Bands for Survival Functions With Censored Data: A Comparative Study
作者:
VijayanN. Nair,
期刊:
Technometrics
(Taylor Available online 1984)
卷期:
Volume 26,
issue 3
页码: 265-275
ISSN:0040-1706
年代: 1984
DOI:10.1080/00401706.1984.10487964
出版商: Taylor & Francis Group
关键词: Censoring;Confidence bands;Distribution free
数据来源: Taylor
摘要:
Consider the problem of obtaining simultaneous confidence bands for the survival function S(x) when the data are arbitrarily right censored. The usual pointwise confidence intervals based on Greenwood's variance formula can be adapted to yield a large-sample confidence band. This band has, in a certain sense, equal precision at each point of S(x). It is compared with the censored versions of the Kolmogorov band and the Rényi band. The comparisons are made in terms of the widths and the adequacy of large-sample approximations and are carried out under various censoring models and degrees of censoring. The bands are illustrated by applying them to data from a mechanical-switch life test.
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