Correspondences between Regression Models for Complex Binary Outcomes and Those for Structured Multivariate Survival Analyses

Nicholas P. Jewell, Division of Biostatistics, School of Public Health, University of California, Berkeley

Abstract

Doksum and Gasko [5] described a one-to-one correspondence between regression models for binary outcomes and those for continuous time survival analyses. This correspondence has been exploited heavily in the analysis of current status data (Jewell and van der Laan [11], Shiboski [18]). Here, we explore similar correspondences for complex survival models and categorical regression models for polytomous data. We include discussion of competing risks and progressive multi-state survival random variables.