With reference to a general class of empirical-type likelihoods, we develop higher-order asymptotics for the frequentist coverage of Bayesian credible sets based on posterior quantiles and highest posterior density. These asymptotics, in turn, characterise members of the class that allow...

We consider a very general class of empirical discrepancy statistics that includes the Cressie--Read discrepancy statistics and, in particular, the empirical likelihood ratio statistic. Higher-order asymptotics for expected lengths of associated confidence intervals are investigated. An explicit...

It is well known that the family of spherical distributions has many nice properties. Is it possible to extend those properties to some bigger family [triple bond; length as m-dash] (y) which consists of all positive scale mixtures of y, where y is a given random vector and is called the...

A coordinate measuring machine (CMM) is a computer-controlled device that uses a probe to obtain measurements on a manufactured part's surface. In the process of collecting, analyzing and interpreting CMM data, many statistical problems arise. One of them is to choose a model describing the...

Let z be an n x 1 interchangeable random vector and z(1) [less-than-or-equals, slant] ... [less-than-or-equals, slant] z(n) be its order statistics. Let ui = (n - i + 1) x (z(i) - z(i - 1))i = 1, ... n, with z(0) = 0 and U = (u1,...,Un)'. The main result is that z = u iff z is a multivariate...