3 papers
math.ST2024
Non-standard boundary behaviour in two-component mixture models
Heather Battey, Peter McCullagh, Daniel Xiang
Consider a binary mixture model of the form , where is standard Gaussian and is a completely specified heavy-tailed distribution with the same sup…
math.ST2024
Interpretation of local false discovery rates under the zero assumption
Daniel Xiang, Nikolaos Ignatiadis, Peter McCullagh
In large-scale studies with parallel signal-plus-noise observations, the local false discovery rate is a summary statistic that is often presumed to be equal to the posterior proba…
math.ST2011
On Bayes' theorem for improper mixtures
Peter McCullagh, Han Han
Although Bayes's theorem demands a prior that is a probability distribution on the parameter space, the calculus associated with Bayes's theorem sometimes generates sensible proced…