Models for association in bivariate survival data.

Abstract

This paper reviews dependence models for bivariate survival data, classifying them into the four groups: the shock model, the Freund model, the Clayton model, and the mixture model. The paper then concentrates on the mixture model, discussing the testing problem for the equality of marginal distributions under the Weibull type baseline hazard assumption. The new test proposed recently by Fujii is introduced, and its characteristic is studied with respect to the test proposed by Nayak and the sign test by simulation study.