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August, 1989 The Geometry of Asymptotic Inference
Robert E. Kass
Statist. Sci. 4(3): 188-219 (August, 1989). DOI: 10.1214/ss/1177012480


Geometrical foundations of asymptotic inference are described in simple cases, without the machinery of differential geometry. A primary statistical goal is to provide a deeper understanding of the ideas of Fisher and Jeffreys. The role of differential geometry in generalizing results is indicated, further applications are mentioned, and geometrical methods in nonlinear regression are related to those developed for general parametric families.


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Robert E. Kass. "The Geometry of Asymptotic Inference." Statist. Sci. 4 (3) 188 - 219, August, 1989.


Published: August, 1989
First available in Project Euclid: 19 April 2007

zbMATH: 0955.62513
MathSciNet: MR1015274
Digital Object Identifier: 10.1214/ss/1177012480

Keywords: ancillary statistic , approximate sufficiency , Bayes factor , curved exponential family , distance measures , Information , Jeffreys' prior , Nonlinear regression , orthogonal parameters , statistical curvature

Rights: Copyright © 1989 Institute of Mathematical Statistics

Vol.4 • No. 3 • August, 1989
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