In a series of papers starting in the late 1980s, DAS Fraser, N. Reid and coworkers
developed the tangent exponential model for higher-order likelihood inference. This chapter …

We offer an exposition of modern higher order likelihood inference and introduce software to
implement this in a quite general setting. The aim is to make more accessible an important …

We consider inference on a scalar parameter of interest in the presence of a nuisance
parameter, using a likelihood-based statistic which is asymptotically normally distributed …

Accurate inference on a scalar interest parameter in the presence of a nuisance parameter
may be obtained using an adjusted version of the signed root likelihood ratio statistic, in …

When assessing the compatibility of an assumed model and the observed data, one popular
method is the posterior predictive p-value (ppp). However, the posterior predictive p-values …

Four years ago, almost to the day, I started my PhD period at the University of Oslo. I was
excited, but also slightly worried. With my background in applied statistics and biology from …

Two routes most commonly proposed for accurate inference on a scalar interest parameter
in the presence of a (possibly high-dimensional) nuisance parameter are parametric …