The Strong Law of Large Numbers for Kaplan–Meier U-Statistics

Arup Bose and Arusharka Sen ()
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Arusharka Sen: University of Hyderabad

Journal of Theoretical Probability, 1999, vol. 12, issue 1, 181-200

Abstract: 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(3) by identifying appropriate reverse-time supermartingale processes. This approach avoids the stringent assumptions of Gijbels and Veraverbeke(1) who consider similar functionals.

Keywords: Random censoring; Kaplan–Meier estimator; strong law of large numbers; supermartingale; Hewitt-Savage zero-one law (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1023/A:1021752828590

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