Open Access
September, 1991 Conditional Rank Tests for Randomly Censored Data
Arnold Janssen
Ann. Statist. 19(3): 1434-1456 (September, 1991). DOI: 10.1214/aos/1176348255


The present paper derives various survival tests and their optimality results for randomly censored lifetime data by an extension of familiar rank tests arguments. The approach is based on local asymptotic normal models which have a natural interpretation in terms of hazard rates. In particular, the description of classical rank tests by hazard rates may be of separate interest. As an application of the new methods, a justification of conditional survival tests is given also under unequal censoring distributions. It turns out that censoring is a nuisance phenomenon which asymptotically drops out. Conditional tests are exact permutation tests which are shown to be equivalent to their unconditional counterparts. They have all kinds of optimality properties and can be recommended for applications at least in those cases when a model with equal censorship cannot be excluded under the null hypothesis.


Download Citation

Arnold Janssen. "Conditional Rank Tests for Randomly Censored Data." Ann. Statist. 19 (3) 1434 - 1456, September, 1991.


Published: September, 1991
First available in Project Euclid: 12 April 2007

zbMATH: 0729.62043
MathSciNet: MR1126331
Digital Object Identifier: 10.1214/aos/1176348255

Primary: 62G20
Secondary: 62G10

Keywords: Censored data , Conditional rank tests , hazard rates , Pitman efficiency , Survival analysis

Rights: Copyright © 1991 Institute of Mathematical Statistics

Vol.19 • No. 3 • September, 1991
Back to Top