Article thumbnail

Dual pairs of Riesz spaces for studying completeness, sufficiency, and compactness of statistical experiments

By Dieter Mussmann

Abstract

For statistical experiments dual pairs of Riesz spaces are introduced which are related to spaces defined by Pitcher in connection with compact experiments. Likewise there are relations to enlargements of Le Cam's M-space defined by Torgersen in a study on complete sufficient statistics and uniformly minimum variance unbiased estimators. In this framework completeness, (pairwise) sufficiency, and compactness are investigated. The results are applicable to nondominated experiments, for example, to show minimal sufficiency and completeness of permutation invariant sub-[sigma]-algebras. The relation to Le Cam's L- and M-spaces is indicated.completeness sufficiency compactness duality Riesz space

OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://www.sciencedirect.com/s... (external link)

  • To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.

    Suggested articles