For the ith subject, , let , , and be the observed time, weight, and the covariate vector at time t, respectively. Let be the event indicator and let . Let
Let . The score residual for the ith subject is
For TIES=EFRON, the computation of the score residuals is modified to comply with the Efron partial likelihood. For more information, see the section Residuals.
The robust sandwich variance estimate of derived by Binder (1992), who incorporated weights into the analysis, is
where is the observed information matrix, and . Note that when ,
where is the matrix of DFBETA residuals. This robust variance estimate was proposed by Lin and Wei (1989) and Reid and Crépeau (1985).