• Terry M. Therneau
  • Patricia M. Grambsch
Part of the Statistics for Biology and Health book series (SBH)


Since its introduction, the proportional hazards model proposed by Cox [36] has become the workhorse of regression analysis for censored data. In the last several years, the theoretical basis for the model has been solidified by connecting it to the study of counting processes and martingale theory, as discussed in the books of Fleming and Harrington [51] and of Andersen et al. [4] . These developments have, in turn, led to the introduction of several new extensions to the original model. These include the analysis of residuals, time-dependent coefficients, multiple/correlated observations, multiple time scales, time-dependent strata, and estimation of underlying hazard functions.


Counting Process Multiple Time Scale Predictable Process Consolidation Chemotherapy Maintenance Chemotherapy 
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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Terry M. Therneau
    • 1
  • Patricia M. Grambsch
    • 2
  1. 1.Department of Health Sciences ResearchMayo ClinicRochesterUSA
  2. 2.Division of Biostatistics, School of Public HealthUniversity of MinnesotaMinneapolisUSA

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