Metrika

, Volume 27, Issue 1, pp 195–202 | Cite as

A stability theorem for statistical experiments

  • E. Siebert
Publications
  • 19 Downloads

Summary

A theorem ofMüller [1974] on the convergence of statistical experiments on a polish space is extended to the abstract setting of a measurable space. The proof of the main result is remarkably elementary. The paper concludes with a discussion of several examples and counterexamples.

Keywords

Compact Group Compact Operator Polish Space Stability Theorem Left Translation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bauer, H.: Wahrscheinlichkeitstheorie und Grundzüge der Maßtheorie. Berlin 1978.Google Scholar
  2. LeCam, L.: Sufficiency and approximate sufficiency. Ann. Math. Stat.35, 1964, 1419–1455.MathSciNetCrossRefMATHGoogle Scholar
  3. —: Limits of experiments. Proc. 6th Berkeley Symp. Vol.1, 1972, 245–261.Google Scholar
  4. Müller, D.W.: The stability theorem. Preprint 1974 (5 pages).Google Scholar
  5. Siebert, E.: Convergence and convolutions of probability measures on a topological group. Ann. of Prob.4, 1976, 433–443.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Physica-Verlag 1980

Authors and Affiliations

  • E. Siebert
    • 1
  1. 1.Mathematisches Institut der UniversitätTübingen

Personalised recommendations