The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Updating Subjective Probability
Abstract
Jeffrey's rule for revising a probability P to a new probability P* based on new probabilities P* (Ei ) on a partition {Ei } i = 1 n is P*(A) = Σ P(A| Ei ) P* (Ei ). Jeffrey's rule is applicable if it is judged that P* (A | Ei ) = P(A | Ei ) for all A and i. This article discusses some of the mathematical properties of this rule, connecting it with sufficient partitions, and maximum entropy updating of contingency tables. The main results concern simultaneous revision on two partitions.
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Citations
Cites
$I$-Divergence Geometry of Probability Distributions and Minimization Problems
Csiszar, I. (1975) · The Annals of Probability · doi:10.1214/aop/1176996454 · Cited by 1,645
Cited by
Group representations in probability and statistics
Diaconis, P. (1988) · doi:10.1214/lnms/1215467407 · Cited by 1,381
Self-citationOn Choosing and Bounding Probability Metrics
Gibbs, A. L., & Su, F. E. (2002) · International Statistical Review · doi:10.1111/j.1751-5823.2002.tb00178.x · Cited by 1,163
Accuracy and the Laws of Credence
Pettigrew, R. (2016) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198732716.001.0001 · Cited by 473
Fuchs, C. A., & Schack, R. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.1693 · Cited by 321
A General Framework for Updating Belief Distributions
Bissiri, P. G., Holmes, C. C., & Walker, S. G. (2016) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/rssb.12158 · Cited by 285
Metadata
- Authors
- Diaconis, P., & Zabell, S. L.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1982-12
- Volume
- 77
- Issue
- 380
- Pages
- 822-830
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W1991884749
- Cited by
- 303
- References
- 1
- FWCI
- 4.88
- Type
- journal article
- Language
- en
- Open access
- closed
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