1. A. C. Davison and J. E. Stafford. The Score Function and a Comparison of Various Adjustments of the Profile Likelihood.
The Canadian Journal of Statistics , Vol. 26, No. 1 (Mar., 1998), pp. 139-148

2. James E. Stafford. A Robust Adjustment of the Profile Likelihood. The Annals of Statistics, Vol. 24, No. 1 (Feb., 1996),  pp. 336-352