Sufficiency in the non-weakly dominated case

DOI10.1007/BF01903685zbMath0758.62005OpenAlexW1964236085MaRDI QIDQ1187278

György Michaletzky

Publication date: 28 June 1992

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903685

zbMATH Keywords

necessary and sufficient conditioncardinalitycharacterization of statistical spacesexistence of minimal sufficient sigma-fieldsnon-weakly dominated situation

Mathematics Subject Classification ID

Sufficient statistics and fields (62B05) Sufficiency and information (62B99)

Cites Work

• Construction of minimal sufficient or pairwise sufficient \(\sigma\)-field
• On the existence of a minimal sufficient subfield
• A more general property than domination for sets of probability measures
• Sets of Measures not Admitting Necessity and Sufficient Statistics or Subfields
• Pairwise sufficiency
• Sufficiency in the Undominated Case
• Vergleich von Experimenten im schwach dominierten Fall
• Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics