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Biometrika 1995 82(3):501-513; doi:10.1093/biomet/82.3.501
© 1995 by Biometrika Trust
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Regression with interval-censored data

DANIEL RABINOWITZ1, ANASTASIOS TSIATIS2 and JORGE ARAGON3

1 Department of Statistics, Columbia University New York, New York 10027, U.S.A.
2 Department of Biostatistics, Harvard School of Public Health 677 Huntington Avenue, Boston, Massachusetts 02115, U.S.A.
3 Universidad Autonoma de Coahuila, Unidad Campo Redondo Saltillo, Coahuila 25280, Mexico

Received for publication 1 September 1992. Revision received 1 February 1995.
  Abstract

Interval-censored data result when survival times are not known exactly, but are only known to have occurred between intermittent examination times. Here the accelerated failure time model is treated for interval-censored data. A class of score statistics that may be used for estimation and confidence procedures is proposed. An adaptive procedure based on estimating the optimal member of the class of score statistics is explored.

Key Words: Accelerated failure time • Adaptive estimation • Current status data • Nonparametric maximum likelihood • Semi-parametric efficiency • Survival analysis


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