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The Kaplan-Meier Estimate for Dependent Failure Time Observations

✍ Scribed by Z. Ying; L.J. Wei


Book ID
102599112
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
404 KB
Volume
50
Category
Article
ISSN
0047-259X

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✦ Synopsis


In some long term medical follow-up studies, a series of dependent and possibly censored failure times may be observed. Suppose that these failure times were generated from the same distribution function, and inferences about it are of our main interest. In this article, we show that under rather weak conditions for the dependence among the observations, the Kaplan-Meier estimator is still consistent and asymptotically normal. For a special dependent case in which highly stratified data are observed, a valid estimate for the limiting variance of the Kaplan-Meier estimate is also provided. Our proposal is illustrated with an examply. (C) 1994 Academic Press, Inc.


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In some long term studies, a series of dependent and possibly censored failure times may be observed. Suppose that the failure times have a common marginal distribution function, and inferences about it are of interest to us. The main result of this paper is that, under certain regularity conditions