استدلال بايزي
الاستدلال البايزي (الإنكليزية: Bayesian inference) أحد مناهج الاستدلال الإحصائي.
انظر أيضاً
- Approximate Bayesian computation
- Bayesian inference in phylogeny
- Bayesian model comparison
- Bayesian brain
- Bayesian estimation
- Bayesian filtering
- Bayesian network
- Bayes factor
- Exchangeable random variables
- Hierarchical Bayes model
- Influence diagram
- Information theory
- Occam's Razor
- Cromwell's rule
- Predictive inference
- Prosecutor's fallacy
- Minimum message length
- Minimum description length
- Gaussian process regression
- Maximum entropy thermodynamics
- Important publications in Bayesian statistics
- The Wisdom of Crowds
- Raven paradox
الهوامش
المصادر
- Bickel, Peter J. and Doksum, Kjell A. (2001). Mathematical Statistics, Volume 1: Basic and Selected Topics (Second (updated printing 2007) ed.). Pearson Prentice-Hall. ISBN .CS1 maint: multiple names: authors list (link)
- Box, G.E.P. and Tiao, G.C. (1973) Bayesian Inference in Statistical Analysis, Wiley, ISBN 0-471-57428-7
- Edwards, Ward (1968). "Conservatism in Human Information Processing". In Kleinmuntz, B (ed.). Formal Representation of Human Judgment. Wiley.
- Edwards, Ward (1982). "Conservatism in Human Information Processing (excerpted)". In Daniel Kahneman, Paul Slovic and Amos Tversky (ed.). Judgment under uncertainty: Heuristics and biases. Cambridge University Press.
- Jaynes E.T. (2003) Probability Theory: The Logic of Science, CUP. ISBN 9780521592710 (Link to Fragmentary Edition of March 1996).
- Howson, C. and Urbach, P. (2005). Scientific Reasoning: the Bayesian Approach (3rd ed.). Open Court Publishing Company. ISBN .CS1 maint: multiple names: authors list (link)
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Phillips, L.D.; Edwards, W. (2008). "Chapter 6: Conservatism in a simple probability inference task (Journal of Experimental Psychology (1966) 72: 346-354)". In Jie W. Weiss and David J. Weiss (ed.). A Science of Decision Making:The Legacy of Ward Edwards. Oxford University Press. p. 536. ISBN . Unknown parameter
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قراءات إضافية
Elementary
The following books are listed in ascending order of probabilistic sophistication:
- Colin Howson and Peter Urbach (2005). Scientific Reasoning: the Bayesian Approach (3rd ed.). Open Court Publishing Company. ISBN .
- Berry, Donald A. (1996). Statistics: A Bayesian Perspective. Duxbury. ISBN .
- Morris H. DeGroot and Mark J. Schervish (2002). Probability and Statistics (third ed.). Addison-Wesley. ISBN .
- Bolstad, William M. (2007) Introduction to Bayesian Statistics: Second Edition, John Wiley ISBN 0-471-27020-2
- Winkler, Robert L, Introduction to Bayesian Inference and Decision, 2nd Edition (2003) ISBN 0-9647938-4-9
- Lee, Peter M. Bayesian Statistics: An Introduction. Second Edition. (1997). ISBN 0-340-67785-6.
- Link, William A. and Barker, R.J. Bayesian Inference with Ecological Applications. (2010). ISBN 978-0-12-374854-6.
- Bayesian Methods for Data Analysis, Third Edition. Boca Raton, FL: Chapman and Hall/CRC. 2008. ISBN .
- Bayesian Data Analysis, Second Edition. Boca Raton, FL: Chapman and Hall/CRC. 2003. ISBN .
- Pole, Andy, West, Mike and Harrison, P. Jeff. Applied Bayesian Forecasting and Time Series Analysis, Chapman-Hall/Taylor Francis, 1994
Intermediate or Advanced
- Berger, James O (1985). Statistical Decision Theory and Bayesian Analysis. Springer Series in Statistics (Second ed.). Springer-Verlag. ISBN .
- Bayesian Theory. Wiley. 1994.
- Bretthorst, G. Larry, 1988, in Lecture Notes in Statistics, 48, Springer-Verlag, New York, New York
- DeGroot, Morris H., Optimal Statistical Decisions. Wiley Classics Library. 2004. (Originally published (1970) by McGraw-Hill.) ISBN 0-471-68029-X.
- Jaynes, E.T. (1998) .
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David MacKay (2003). Information Theory, Inference, and Learning Algorithms. Cambridge University Press. External link in
|title=(help) (On-line) - O'Hagan, A. and Forster, J. (2003) Kendall's Advanced Theory of Statistics, Volume 2B: Bayesian Inference. Arnold, New York. ISBN 0-340-52922-9.
- Pearl, J. (1988) Probabilistic Reasoning in Intelligent Systems, San Mateo, CA: Morgan Kaufmann.
- Robert, Christian P (2001). The Bayesian Choice – A Decision-Theoretic Motivation (second ed.). Springer. ISBN .
- Rowe, D.B. (2003) Multivariate Bayesian Statistics CRC Press ISBN 1584883189
- West, Mike, and Harrison, P. Jeff, Bayesian Forecasting and Dynamic Models, Springer-Verlag, 1997 (2nd ed.)
- Bolstad, William M. (2010) Understanding Computational Bayesian Statistics, John Wiley ISBN 0-470-04609-8
وصلات خارجية
- Bayesian Statistics summary from Scholarpedia.
- A nice on-line introductory tutorial to Bayesian probability from Queen Mary University of London
- An Intuitive Explanation of Bayesian Reasoning Bayes' Theorem for the curious and bewildered; an excruciatingly gentle introduction by Eliezer Yudkowsky
- Paul Graham. "A Plan for Spam" (exposition of a popular approach for spam classification)
- Commentary on Regina versus Adams
- Mathematical notes on Bayesian statistics and Markov chain Monte Carlo
- Bayesian Rating/Ranking How to implement Bayes' Theorem for online rating and ranking systems
- Bayesian reading list, categorized and annotated. Designed for cognitive science; maintained by Tom Griffiths.
- Stanford Encyclopedia of Philosophy: Inductive Logic a comprehensive Bayesian treatment of Inductive Logic and Confirmation Theory
- Confirmation Theory An extensive presentation of Bayesian Confirmation Theory
- What is Bayesian Learning?
