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Bayes Empirical Bayes
Abstract
A Bayesian approach is given for various kinds of empirical Bayes problems. In particular it is shown that empirical Bayes procedures are really non-Bayesian, asymptotically optimal, classical procedures for mixtures. In some situations these procedures are Bayes with respect to some prior and in other situations, there is no prior for which they are Bayes. Several examples of these concepts are given as well as a general theory showing the difference between an empirical Bayes model and a Bayes empirical Bayes model.
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Citations
Cited by
Bayes Empirical Bayes Inference of Amino Acid Sites Under Positive Selection
Yang, Z. (2005) · Molecular Biology and Evolution · doi:10.1093/molbev/msi097 · Cited by 2,320
Penalising Model Component Complexity: A Principled, Practical Approach to Constructing Priors
Simpson, D., Rue, H., Riebler, A., Martins, T. G., & Sørbye, S. H. (2017) · Statistical Science · doi:10.1214/16-sts576 · Cited by 1,085
Kass, R. E., & Steffey, D. (1989) · Journal of the American Statistical Association · doi:10.1080/01621459.1989.10478825 · Cited by 474
Estimating Population Characteristics From Sparse Matrix Samples of Item Responses
Mislevy, R. J., Beaton, A. E., Kaplan, B., & Sheehan, K. M. (1992) · Journal of Educational Measurement · doi:10.1111/j.1745-3984.1992.tb00371.x · Cited by 447
Fully Exponential Laplace Approximations to Expectations and Variances of Nonpositive Functions
Tierney, L., Kass, R. E., & Kadane, J. B. (1989) · Journal of the American Statistical Association · doi:10.1080/01621459.1989.10478824 · Cited by 342
Metadata
- Authors
- Deely, J. J., & Lindley, D. V.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1981-12
- Volume
- 76
- Issue
- 376
- Pages
- 833-841
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2089519699
- Cited by
- 250
- References
- 0
- FWCI
- 3.47
- Type
- journal article
- Language
- en
- Open access
- closed
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