NYMC Faculty Publications

Firth Adjustment for Weibull Current-Status Survival Analysis

Journal Title

Communications in Statistics

First Page

4587

Last Page

4602

Document Type

Article

Publication Date

2020

Department

Biostatistics

Abstract

Analysis of right-censored data is problematic due to infinite maximum likelihood estimates (MLE) and potentially biased estimates, especially for small numbers of events. Analyzing current-status data is especially troublesome because of the extreme loss of precision due to large failure intervals. We extend Firth’s method for regular parametric problems to current-status modeling with the Weibull distribution. Firth advocated a bias reduction method for MLE by systematically correcting the score equation. An advantage is that it is still applicable when the MLE does not exist. We present simulation studies and two illustrative analyses involving RFM mice lung tumor data.

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