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Probability
- Author: Abraham de Moivre
- Publication data: 1738 (2nd ed.)
- Online version: ?
- Description: The book introduced the concept of normal distributions as approximations to binomial distributions. In effect, de Moivre proved a weak version of the central limit theorem. Sometimes his result is called the theorem of de Moivre-Laplace.
- Importance: Topic creator, Breakthrough, Influence
Bayesian statistics
An Essay Toward Solving a Problem in the Doctrine of Chances
- Author: Thomas Bayes
- Publication data: 1764
- Online version: (PostScript file); [http://www.york.ac.uk/depts/maths/histstat/essay.pdf (PDF file)
- Description: In this paper Bayes addresses the problem of using a sequence of identical "trials" to determine the per-trial probability of "success" — the so-called inverse probability problem. It later inspired the theorem that bears his name (Bayes' theorem). See also Pierre Simon de Laplace.
- Importance: Topic creator, Breakthrough, Influence
Treatise on Probability
- Author: J.M. Keynes
- Publication data: London, Macmillan, 1921.
- Description: Early statement of probability as a subjective measure of degree of belief. Keynes is better-known for his contributions to Economics, but this erudite book shows him to be a polymath.
- Importance:
Probability, Induction and Statistics
- Author: Bruno de Finetti
- Publication data: New York: John Wiley & Sons, Inc., 1972.
- Description A collection of de Finetti's essays on subjective probability.
- Importance:
Theory of Probability
- Author: Bruno de Finetti
- Publication data: Two volumes, A.F.M. Smith and A. Machi (trs.), New York: John Wiley & Sons, Inc., 1974, 1975.
- Description The first detailed statement of the operational subjective position, dating from the author's research in the 1920s and 30s.
- Importance: A classic.
Operational Subjective Statistical Methods
- Author: Frank Lad
- Publication data: New York: John Wiley & Sons, Inc., 1996, 484pp.
- Description: Comprehensive; subtitled "A Mathematical, Philosophical, and Historical Introduction", but probably not for the general reader.
- Importance: A fairly exhaustive statement of the operational position, following on from the earlier work by Bruno de Finetti.
Bayesian Theory
- Author: Bernardo & Smith
- Publication data: 2002?
- Description: An up to date guide to modern Bayesian theory.
- Importance:
Introduction to Bayesian Inference and Decision, 2nd Edition
- Author: Robert L Winkler
- Publication data: Gainesville: Probabilistic Publishing, 2003, 450pp.
- Description: Updated version of Winkler's classic textbook which was initially published in 1972.
- Importance: Graduate level introduction to Bayesian inference.
Introductory probability
Henk Tijms (2004), Understanding Probability, Chance Rules in Everyday Life, Cambridge University Press. A delightful introduction to probability theory with many examples.
Applied statistics
Applied Statistics and Probability for Engineers, 3rd edition, Douglas C. Montgomery and George C. Runger, John Wiley & Sons Inc, 2003. A good introduction to this topic.
Analysis of variance
Cardinal, R.N., & Aitken, M.R.F.(2006). ANOVA for the Behavioural Science Researcher. New Jersey:Lawrence Erlbaum Associates. ISBN 0805855866
Rutherford, A.(2001). Introducing ANOVA and ANCOVA: A GLM Approach. Sage Publications Ltd. ISBN 076195161X
Extreme value theory
Regression analysis
Machine learning
Multivariate statistics
Statistical phenomena
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