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Group invariance applications in statistics. (English) Zbl 0749.62005

Regional Conference Series in Probability and Statistics. 1. Hayward, CA, Alexandria, VA: Institute of Mathematical Statistics, American Statistical Association. v, 133 p. (1989).
The chapter titles are: Integrals and the Haar measure; Group actions and relatively invariant integrals; Invariant statistical models; Models invariant under compact groups; Decomposable measures; Invariant decision problems; Random orthogonal matrices; Finite de Finetti style theorems; Finite de Finetti style theorems for linear models. The mongraph contains the contents of eighteen 45 minute lectures. The bibliography contains about 65 entries.
Reviewer: L.Weiss (Ithaca)

MSC:

62A01 Foundations and philosophical topics in statistics
62-02 Research exposition (monographs, survey articles) pertaining to statistics
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Full Text: Euclid