INDEPENDENCE AND STATISTICAL REDUCTION FOR INVARIANT MODELS.

Abstract

A theorem is derived, proving the independence of minimal sufficient statistics and the 'natural' ancillary statistic for a class of invariant models. The theorem is applied to prove the equivalence of different methods of reducing statistical models, e.g. invariance reductions and sufficiency-followed-by-invariance reductions. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1968
Accession Number
AD0673237

Entities

People

  • James Bondar

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Data Science
  • Information Science
  • Invariance
  • Mathematics
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Statistical inference.