Bayesian nonparametric inference on stochastic ordering.
Publication
, Journal Article
Dunson, DB; Peddada, SD
Published in: Biometrika
December 2008
This article considers Bayesian inference about collections of unknown distributions subject to a partial stochastic ordering. To address problems in testing of equalities between groups and estimation of group-specific distributions, we propose classes of restricted dependent Dirichlet process priors. These priors have full support in the space of stochastically ordered distributions, and can be used for collections of unknown mixture distributions to obtain a flexible class of mixture models. Theoretical properties are discussed, efficient methods are developed for posterior computation using Markov chain Monte Carlo, and the methods are illustrated using data from a study of DNA damage and repair.
Duke Scholars
Published In
Biometrika
DOI
EISSN
1464-3510
ISSN
0006-3444
Publication Date
December 2008
Volume
95
Issue
4
Start / End Page
859 / 874
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 3802 Econometrics
- 1403 Econometrics
- 0104 Statistics
- 0103 Numerical and Computational Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Dunson, D. B., & Peddada, S. D. (2008). Bayesian nonparametric inference on stochastic ordering. Biometrika, 95(4), 859–874. https://doi.org/10.1093/biomet/asn043
Dunson, David B., and Shyamal D. Peddada. “Bayesian nonparametric inference on stochastic ordering.” Biometrika 95, no. 4 (December 2008): 859–74. https://doi.org/10.1093/biomet/asn043.
Dunson DB, Peddada SD. Bayesian nonparametric inference on stochastic ordering. Biometrika. 2008 Dec;95(4):859–74.
Dunson, David B., and Shyamal D. Peddada. “Bayesian nonparametric inference on stochastic ordering.” Biometrika, vol. 95, no. 4, Dec. 2008, pp. 859–74. Epmc, doi:10.1093/biomet/asn043.
Dunson DB, Peddada SD. Bayesian nonparametric inference on stochastic ordering. Biometrika. 2008 Dec;95(4):859–874.
Published In
Biometrika
DOI
EISSN
1464-3510
ISSN
0006-3444
Publication Date
December 2008
Volume
95
Issue
4
Start / End Page
859 / 874
Related Subject Headings
- Statistics & Probability
- 4905 Statistics
- 3802 Econometrics
- 1403 Econometrics
- 0104 Statistics
- 0103 Numerical and Computational Mathematics