The standard intervals, for example, θ ̂±1.96 σ ̂ for nominal 95% two-sided coverage, are
familiar and easy to use, but can be of dubious accuracy in regular practice. Bootstrap …

Statistical theory aims to provide a foundation for studying the collection and interpretation of
data, a foundation that does not depend on the particular details of the substantive field in …

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 …

Asymptotic bootstrap validity is usually understood as consistency of the distribution of a
bootstrap statistic, conditional on the data, for the unconditional limit distribution of a statistic …

Past, Present, and Future of Statistical Science was commissioned in 2013 by the
Committee of Presidents of Statistical Societies (COPSS) to celebrate its 50th anniversary …

We outline how modern likelihood theory, which provides essentially exact inferences in a
variety of parametric statistical problems, may routinely be applied in practice. Although the …

Statistical applications often involve the calculation of intractable multidimensional integrals.
The Laplace formula is widely used to approximate such integrals. However, in high …

We consider inference on a vector-valued parameter of interest in a linear exponential
family, in the presence of a finite-dimensional nuisance parameter. Based on higher-order …

The public image of statistics is changing, and recently the changes have been mostly for
the better, as we've all seen. But occasional court cases, a few conspicuous failures, and …

Developments in the theory of frequentist parametric inference in recent decades have been
driven largely by the desire to achieve higher‐order accuracy, in particular distributional …