Bose, Arup ; Sen, Arusharka (1999) The strong law of large numbers for kaplan-meier U-statistics Journal of Theoretical Probability, 12 (1). pp. 181-200. ISSN 0894-9840
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Official URL: http://www.springerlink.com/content/v23324p361v768...
Related URL: http://dx.doi.org/10.1023/A:1021752828590
Abstract
We introduce a Kaplan-Meier U-statistic of degree two for randomly censored data and prove a strong law for it. We use the technique of Stute and Wang by identifying appropriate reverse-time supermartingale processes. This approach avoids the stringent assumptions of Gijbels and Veraverbeke who consider similar functionals.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer-Verlag. |
| Keywords: | Random Censoring; Kaplan-meier Estimator; Strong Law of Large Numbers; Supermartingale; Hewitt-savage Zero-one Law |
| ID Code: | 5490 |
| Deposited On: | 19 Oct 2010 12:08 |
| Last Modified: | 19 Oct 2010 12:08 |
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