Open Access
December, 1988 Rank Tests with Interval-Censored Data
Michael G. Akritas
Ann. Statist. 16(4): 1490-1502 (December, 1988). DOI: 10.1214/aos/1176351050

Abstract

An interval censoring model is carefully defined and the range of its applicability is illustrated. A class of rank tests for the two- and $k$-sample problems is proposed. The statistic is based on the exact ranks of the observed responses and resembles the rank statistic in the usual uncensored case. This statistic is shown to be asymptotically equivalent to the efficient scores test statistic under an assumed parametric model. An alternative rank statistic, based on the estimated ranks of the unobserved variables of interest and applicable under a more general interval censoring model, is also proposed.

Citation

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Michael G. Akritas. "Rank Tests with Interval-Censored Data." Ann. Statist. 16 (4) 1490 - 1502, December, 1988. https://doi.org/10.1214/aos/1176351050

Information

Published: December, 1988
First available in Project Euclid: 12 April 2007

zbMATH: 0653.62035
MathSciNet: MR964935
Digital Object Identifier: 10.1214/aos/1176351050

Subjects:
Primary: 62G10
Secondary: 62N05

Keywords: $C(\alpha)$ tests , adaptive inference , Efficient scores statistic , Empirical processes

Rights: Copyright © 1988 Institute of Mathematical Statistics

Vol.16 • No. 4 • December, 1988
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