Skip to main content

Bayesian Kernel Mixtures for Counts.

Publication ,  Journal Article
Canale, A; Dunson, DB
Published in: Journal of the American Statistical Association
December 2011

Although Bayesian nonparametric mixture models for continuous data are well developed, there is a limited literature on related approaches for count data. A common strategy is to use a mixture of Poissons, which unfortunately is quite restrictive in not accounting for distributions having variance less than the mean. Other approaches include mixing multinomials, which requires finite support, and using a Dirichlet process prior with a Poisson base measure, which does not allow smooth deviations from the Poisson. As a broad class of alternative models, we propose to use nonparametric mixtures of rounded continuous kernels. An efficient Gibbs sampler is developed for posterior computation, and a simulation study is performed to assess performance. Focusing on the rounded Gaussian case, we generalize the modeling framework to account for multivariate count data, joint modeling with continuous and categorical variables, and other complications. The methods are illustrated through applications to a developmental toxicity study and marketing data. This article has supplementary material online.

Duke Scholars

Published In

Journal of the American Statistical Association

DOI

EISSN

1537-274X

ISSN

0162-1459

Publication Date

December 2011

Volume

106

Issue

496

Start / End Page

1528 / 1539

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1603 Demography
  • 1403 Econometrics
  • 0104 Statistics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Canale, A., & Dunson, D. B. (2011). Bayesian Kernel Mixtures for Counts. Journal of the American Statistical Association, 106(496), 1528–1539. https://doi.org/10.1198/jasa.2011.tm10552
Canale, Antonio, and David B. Dunson. “Bayesian Kernel Mixtures for Counts.Journal of the American Statistical Association 106, no. 496 (December 2011): 1528–39. https://doi.org/10.1198/jasa.2011.tm10552.
Canale A, Dunson DB. Bayesian Kernel Mixtures for Counts. Journal of the American Statistical Association. 2011 Dec;106(496):1528–39.
Canale, Antonio, and David B. Dunson. “Bayesian Kernel Mixtures for Counts.Journal of the American Statistical Association, vol. 106, no. 496, Dec. 2011, pp. 1528–39. Epmc, doi:10.1198/jasa.2011.tm10552.
Canale A, Dunson DB. Bayesian Kernel Mixtures for Counts. Journal of the American Statistical Association. 2011 Dec;106(496):1528–1539.

Published In

Journal of the American Statistical Association

DOI

EISSN

1537-274X

ISSN

0162-1459

Publication Date

December 2011

Volume

106

Issue

496

Start / End Page

1528 / 1539

Related Subject Headings

  • Statistics & Probability
  • 4905 Statistics
  • 3802 Econometrics
  • 1603 Demography
  • 1403 Econometrics
  • 0104 Statistics