The strong law of large numbers for Kaplan-Meier \(U\)-statistics
type: Item
instance of: scholarly article
title: The strong law of large numbers for Kaplan-Meier \(U\)-statistics
zbMATH Open document ID: 0920.62060
DOI: 10.1023/A:1021752828590
author: Arup Bose
author: Arusharka Sen
published in: Journal of Theoretical Probability
publication date: 1999-07-06T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 62G07
zbMATH DE Number: 1275652
zbMATH Keywords: random censoring
zbMATH Keywords: Kaplan-Meier U-statistics
zbMATH Keywords: strong law of large numbers
reviewed by: Zhengyan Lin
MaRDI profile type: Publication
full work available at URL: a:1021752828590
OpenAlex ID: W2379498524
description: scientific article; zbMATH DE number 1275652