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Biometrika 1990 77(4):909-914; doi:10.1093/biomet/77.4.909
© 1990 by Biometrika Trust
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Miscellanea

Linear rank statistics for truncated data

ZHILIANG YING

Department of Statistics, University of Illinois Champaign, Illinois 61820, U.S.A.

Motivated by Prentice's (1978) generalization of linear rank statistics for censored data, we introduce a similar kernel for deriving linear rank statistics for truncated data. They take very similar forms to those of Prentice's statistics. Moreover, we also show that they can be expressed equivalently in weighted log rank-type forms, thus providing natural variance estimators. Explicit forms corresponding to Wilcoxon and log rank tests are obtained. Extensions to data subject to both left truncation and right censoring are provided.

Key Words: Censoring • Linear model • Linear rank statistic • Truncation • Weighted log rank form


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