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math.ST2026
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…
math.ST2025
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.ST2025
A frequentist local false discovery rate
Daniel Xiang, Jake A. Soloff, William Fithian
The local false discovery rate (lfdr) of Efron et al. (2001) enjoys major conceptual and decision-theoretic advantages over the false discovery rate (FDR) as an error criterion in…