The strong law of large numbers for Kaplan-Meier \(U\)-statistics (Q1283443)
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scientific article; zbMATH DE number 1275652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The strong law of large numbers for Kaplan-Meier \(U\)-statistics |
scientific article; zbMATH DE number 1275652 |
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The strong law of large numbers for Kaplan-Meier \(U\)-statistics (English)
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6 July 1999
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The authors introduce Kaplan-Meier \(U\)-statistics of degree two for randomly censored data and prove a strong law of large numbers for them using the technique of \textit{W. Stute} and \textit{J.-L. Wang} [Ann. Stat., 21, No. 3, 1591-1607 (1993; Zbl 0785.60020)] by identifying appropriate reverse-time supermartingale processes. This approach avoids stringent assumptions.
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random censoring
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Kaplan-Meier U-statistics
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strong law of large numbers
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