Transformation models and exponential models

  • Ole E. Barndorff-Nielsen
Part of the Lecture Notes in Statistics book series (LNS, volume 50)


As a preliminary to the discussion of transformation models we outline here some basic aspects of the theory of group actions and invariant measures. We do this without attention to some of the relevant regularity assumptions, especially those of a topological nature, but refer the reader to Barndorff-Nielsen, Blaesild and Eriksen (1987), for a mathematically rigorous and more comprehensive treatment.


Invariant Measure Transformation Model Exponential Model Index Parameter Mixed Parameter 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Ole E. Barndorff-Nielsen
    • 1
  1. 1.Department of Theoretical StatisticsInstitute of Mathematics, Aarhus UniversityAarhusDenmark

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