The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Estimating Normal Means with a Dirichlet Process Prior
Abstract
In this article, the Dirichlet process prior is used to provide a nonparametric Bayesian estimate of a vector of normal means. In the past there have been computational difficulties with this model. This article solves the computational difficulties by developing a “Gibbs sampler” algorithm. The estimator developed in this article is then compared to parametric empirical Bayes estimators (PEB) and nonparametric empirical Bayes estimators (NPEB) in a Monte Carlo study. The Monte Carlo study demonstrates that in some conditions the PEB is better than the NPEB and in other conditions the NPEB is better than the PEB. The Monte Carlo study also shows that the estimator developed in this article produces estimates that are about as good as the PEB when the PEB is better and produces estimates that are as good as the NPEB estimator when that method is better.
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Citations
Cites
Sampling-based approaches to calculating marginal densities
Gelfand, A. E., & Smith, A. F. M. (1990) · Journal of the American Statistical Association · doi:10.1080/01621459.1990.10476213 · Cited by 6,606
Parametric empirical Bayes inference: theory and applications
Morris, C. N. (1983) · Journal of the American Statistical Association · doi:10.1080/01621459.1983.10477920 · Cited by 1,448
Nonparametric maximum likelihood estimation of a mixing distribution
Laird, N. (1978) · Journal of the American Statistical Association · doi:10.1080/01621459.1978.10480103 · Cited by 753
Cited by
Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods
Smith, A. F. M., & Roberts, G. O. (1993) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1993.tb01466.x · Cited by 1,713
A Survey on Machine-Learning Techniques in Cognitive Radios
Bkassiny, M., Li, Y., & Jayaweera, S. K. (2013) · IEEE Communications Surveys & Tutorials · doi:10.1109/surv.2012.100412.00017 · Cited by 580
Guure, C. B., Ibrahim, N. A., Adam, M. B., & Said, S. M. (2017) · BioMed Research International · doi:10.1155/2017/9016924 · Cited by 298
Dirichlet process mixture models for unsupervised clustering of symptoms in Parkinson's disease
White, N., Johnson, H., Silburn, P., & Mengersen, K. (2012) · Journal of Applied Statistics · doi:10.1080/02664763.2012.710897 · Cited by 9
Metadata
- Authors
- Escobar, M. D.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1994-03
- Volume
- 89
- Issue
- 425
- Pages
- 268-277
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2079501320
- Cited by
- 565
- References
- 3
- FWCI
- 11.71
- Type
- journal article
- Language
- en
- Open access
- closed
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