Simultaneous confidence bands for Cox regression from semiparametric random censorship

Shoubhik Mondal and Sundarraman Subramanian ()
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Shoubhik Mondal: New Jersey Institute of Technology
Sundarraman Subramanian: New Jersey Institute of Technology

Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, 2016, vol. 22, issue 1, No 6, 122-144

Abstract: Abstract Cox regression is combined with semiparametric random censorship models to construct simultaneous confidence bands (SCBs) for subject-specific survival curves. Simulation results are presented to compare the performance of the proposed SCBs with the SCBs that are based only on standard Cox. The new SCBs provide correct empirical coverage and are more informative. The proposed SCBs are illustrated with two real examples. An extension to handle missing censoring indicators is also outlined.

Keywords: Counting process; Empirical coverage; Equal-precision; Martingale; Gaussian multiplier bootstrap; Strong consistency (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10985-015-9323-2

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