Adjustments of profile likelihood through predictive densities

Abstract

In this paper, a second-order link between adjusted profile likelihoods and refinements of the estimative predictive density is shown. The result provides a new interpretation for modified profile likelihoods that complements results in the literature. Moreover, it suggests how to construct adjusted profile likelihoods using accurate predictive densities

Two‐phase designs for joint quantitative‐trait‐dependent and genotype‐dependent sampling in post‐GWAS regional sequencing

“…Justification for this substitution under SPML estimation, in the simplest case without Z in the trait model, is that estimates for were the same under the genetic association alternative and null leading to acceptable profile LR tests. A precedent on related substitutions using profile likelihoods has been discussed in Murphy and van der Vaart (); Pace, Salvan, and Ventura ().…”