Bose, A. ; Sen, Arusharka (2002) Asymptotic distribution of the Kaplan-Meier U-Statistics Journal of Multivariate Analysis, 83 (1). pp. 84-123. ISSN 0047-259X
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00472...
Related URL: http://dx.doi.org/10.1006/jmva.2001.2039
Abstract
Consider the Kaplan-Meier estimate of the distribution function for right randomly censored data. We show that a U-statistic defined via this estimate is asymptotically normal. Under a condition of degeneracy, different from the degeneracy condition in uncensored models, it has an asymptotic nonnormal distribution.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Random Censoring; Kaplan-meier Integral; U-statistics; Central Limit Theorem; Law of Iterated Logarithm; Degenerate U-statistics; Double Wiener Integral |
| ID Code: | 5461 |
| Deposited On: | 18 Oct 2010 10:06 |
| Last Modified: | 20 May 2011 10:56 |
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