Regression Models and Life-Tables

TLDR

The analysis of censored failure times is considered. The authors model the hazard as a function of explanatory variables and unknown regression coefficients multiplied by an arbitrary time function, derive a conditional likelihood, and use it to infer the coefficients, outlining several generalizations.

Abstract

Summary The analysis of censored failure times is considered. It is assumed that on each individual are available values of one or more explanatory variables. The hazard function (age-specific failure rate) is taken to be a function of the explanatory variables and unknown regression coefficients multiplied by an arbitrary and unknown function of time. A conditional likelihood is obtained, leading to inferences about the unknown regression coefficients. Some generalizations are outlined.