The Annals of Statistics
- Ann. Statist.
- Volume 19, Number 3 (1991), 1403-1433.
Weak Convergence of Time-Sequential Censored Rank Statistics with Applications to Sequential Testing in Clinical Trials
A general weak convergence theory is developed for time-sequential censored rank statistics in the two-sample problem of comparing time to failure between two treatment groups, such as in the case of a clinical trial in which patients enter serially and, after being randomly allocated to one of two treatments, are followed until they fail or withdraw from the study or until the study is terminated. Applications of the theory to time-sequential tests based on these censored rank statistics are also discussed.
Ann. Statist., Volume 19, Number 3 (1991), 1403-1433.
First available in Project Euclid: 12 April 2007
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 62L10: Sequential analysis
Secondary: 62G10: Hypothesis testing 62E20: Asymptotic distribution theory 62P10: Applications to biology and medical sciences 60F17: Functional limit theorems; invariance principles 60G44: Martingales with continuous parameter
Gu, Ming Gao; Lai, Tze Leung. Weak Convergence of Time-Sequential Censored Rank Statistics with Applications to Sequential Testing in Clinical Trials. Ann. Statist. 19 (1991), no. 3, 1403--1433. doi:10.1214/aos/1176348254. https://projecteuclid.org/euclid.aos/1176348254