Sequential linear rank tests for two-sample censored survival data
type: Item
instance of: scholarly article
title: Sequential linear rank tests for two-sample censored survival data
zbMATH Open document ID: 0547.62054
published in: The Annals of Statistics
publication date: 1984-01-01T00:00:00Z
review text: The author provides a general theoretical framework for two-group clinical trials in survival analysis by using martingale methods and stochastic integrals with respect to counting processes. For general patterns of patient-arrival, allocation to treatments and loss to follow- up, it is shown that, under the null-hypothesis of identically distributed lifetimes, the sequentially computed logrank statistic has uncorrelated increments and satisfies a functional limit theorem. The practical applicability to survival testing in randomized clinical trials is discussed.
Mathematics Subject Classification ID: 62L10
Mathematics Subject Classification ID: 62P10
Mathematics Subject Classification ID: 62G10
zbMATH DE Number: 3872509
zbMATH Keywords: censored survival data
zbMATH Keywords: two-group clinical trials
zbMATH Keywords: survival analysis
zbMATH Keywords: martingale methods
zbMATH Keywords: stochastic integrals
zbMATH Keywords: counting processes
zbMATH Keywords: null- hypothesis of identically distributed lifetimes
zbMATH Keywords: logrank statistic
zbMATH Keywords: uncorrelated increments
zbMATH Keywords: functional limit theorem
zbMATH Keywords: randomized clinical trials
author: Eric V. Slud
reviewed by: Albrecht Irle
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1176346505
OpenAlex ID: W2051225081
DOI: 10.1214/AOS/1176346505
description: scientific article; zbMATH DE number 3872509