Bias correction in the cox regression model

We derive general formulae for second-order biases of maximum partial likelihood estimates for the Cox regression model that are easy to compute and yield bias-corrected maximum partial likelihood estimates to order n −1. Monte Carlo simulations indicate smaller biases without variance inflation. †On sabbatical leave from the Departamento de Estatística, Universidade Federal de Minas Gerais, 31270-901 – Belo Horizonte – MG, Brazil.