Eaton, Morris L. 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) Cited in 2 ReviewsCited in 98 Documents MSC: 62A01 Foundations and philosophical topics in statistics 62-02 Research exposition (monographs, survey articles) pertaining to statistics Keywords:Haar measure; group actions; relatively invariant integrals; invariant statistical models; compact groups; decomposable measures; invariant decision problems; random orthogonal matrices; finite de Finetti style theorems; linear models. PDFBibTeX XMLCite \textit{M. L. Eaton}, Group invariance applications in statistics. Hayward, CA: Institute of Mathematical Statistics; Alexandria, VA: American Statistical Association (1989; Zbl 0749.62005) Full Text: Euclid