Key points are not available for this paper at this time.
The difference between profile likelihood and modified profile likelihood depends primarily on the expected value of a certain third order derivative of the log likelihood. It is shown that in exponential family problems this derivative vanishes if the parameter of interest is a mean parameter but in general not when it is a canonical parameter. As examples some matched pair problems for exponential family models are considered.
Cox et al. (Wed,) studied this question.