Publications [#327030] of David B. Dunson

Papers Published

1. Datta, J; Dunson, DB, Bayesian inference on quasi-sparse count data., Biometrika, vol. 103 no. 4 (December, 2016), pp. 971-983 [doi]
   (last updated on 2024/04/15)

   Abstract:
   There is growing interest in analysing high-dimensional count data, which often exhibit quasi-sparsity corresponding to an overabundance of zeros and small nonzero counts. Existing methods for analysing multivariate count data via Poisson or negative binomial log-linear hierarchical models with zero-inflation cannot flexibly adapt to quasi-sparse settings. We develop a new class of continuous local-global shrinkage priors tailored to quasi-sparse counts. Theoretical properties are assessed, including flexible posterior concentration and stronger control of false discoveries in multiple testing. Simulation studies demonstrate excellent small-sample properties relative to competing methods. We use the method to detect rare mutational hotspots in exome sequencing data and to identify North American cities most impacted by terrorism.