7 papers
Hierarchical Bayesian Estimation of Covariance Matrices
Daniel Xiang, Malgorzata Bogdan, Jonas Wallin +1
We develop a hierarchical Bayesian framework for covariance matrix estimation built on a key observation: while equivariance under the full general linear group GL(p) is well known…
Estimating the local false discovery rate under an unknown symmetric null
Daniel Xiang, William Fithian, Nikolaos Ignatiadis +2
This paper is concerned with estimating the local false discovery rate (lfdr) in a two-groups model where the only assumption regarding the null distribution is symmetry about zero…
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…
Adaptive procedures for boundary FDR control
Sarah Mostow, Daniel Xiang
A cornerstone of the multiple testing literature is the Benjamini-Hochberg (BH) procedure, which guarantees control of the FDR when -values are independent or positively depende…
Reliable conformal novelty detection at the decision boundary
Zijun Gao, Etienne Roquain, Daniel Xiang
Novelty detection via conformal -values and BH procedure provides distribution-free global false discovery rate (FDR) control. We present here fundamental limits of this approac…
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…