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Bayesian inference on quasi-sparse count data.

Publication ,  Journal Article
Datta, J; Dunson, DB
Published in: Biometrika
December 2016

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.

Duke Scholars

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Published In

Biometrika

DOI

EISSN

1464-3510

ISSN

0006-3444

Publication Date

December 2016

Volume

103

Issue

4

Start / End Page

971 / 983

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics
 

Citation

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Datta, J., & Dunson, D. B. (2016). Bayesian inference on quasi-sparse count data. Biometrika, 103(4), 971–983. https://doi.org/10.1093/biomet/asw053
Datta, Jyotishka, and David B. Dunson. “Bayesian inference on quasi-sparse count data.Biometrika 103, no. 4 (December 2016): 971–83. https://doi.org/10.1093/biomet/asw053.
Datta J, Dunson DB. Bayesian inference on quasi-sparse count data. Biometrika. 2016 Dec;103(4):971–83.
Datta, Jyotishka, and David B. Dunson. “Bayesian inference on quasi-sparse count data.Biometrika, vol. 103, no. 4, Dec. 2016, pp. 971–83. Epmc, doi:10.1093/biomet/asw053.
Datta J, Dunson DB. Bayesian inference on quasi-sparse count data. Biometrika. 2016 Dec;103(4):971–983.
Journal cover image

Published In

Biometrika

DOI

EISSN

1464-3510

ISSN

0006-3444

Publication Date

December 2016

Volume

103

Issue

4

Start / End Page

971 / 983

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1403 Econometrics
  • 0104 Statistics
  • 0103 Numerical and Computational Mathematics