The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Marginalization Paradoxes in Bayesian and Structural Inference
Abstract
Summary: We describe a range of routine statistical problems in which marginal posterior distributions derived from improper prior measures are found to have an unBayesian property—one that could not occur if proper prior measures were employed. This paradoxical possibility is shown to have several facets that can be successfully analysed in the framework of a general group structure. The results cast a shadow on the uncritical use of improper prior measures. A separate examination of a particular application of Fraser's structural theory shows that it is intrinsically paradoxical under marginalization.
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Citations
Cites
Bayes Estimates for the Linear Model
Lindley, D. V., & Smith, A. F. M. (1972) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1972.tb00885.x · Cited by 2,025
Some Problems Connected with Statistical Inference
Cox, D. R. (1958) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177706618 · Cited by 536
Jaynes, E. T. (1973) · Foundations of Physics · doi:10.1007/bf00709116 · Cited by 297
Cited by
Statistical Inference as Severe Testing: How to Get Beyond the Statistics Wars
Mayo, D. G. (2018) · doi:10.1017/9781107286184 · Cited by 376
McCullagh, P. (2002) · The Annals of Statistics · doi:10.1214/aos/1035844977 · Cited by 248
Metadata
- Authors
- Dawid, A. P., Stone, M., & Zidek, J. V.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1973-01-01
- Volume
- 35
- Issue
- 2
- Pages
- 189-213
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W44951016
- Cited by
- 296
- References
- 3
- FWCI
- 7.37
- Type
- journal article
- Language
- en
- Open access
- closed
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- Dawid, A. P., Stone, M., & Zidek, J. V. (1973). Marginalization Paradoxes in Bayesian and Structural Inference. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/j.2517-6161.1973.tb00952.x
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