ON STATISTICALLY INSPIRED CONDITIONS FOR THE GROUP STRUCTURE OF INVARIANT EXPERIMENTS.
Abstract
The paper examines, within the context of group theory, the close links between the condition of Haar controllability (which ensures that the quasi posterior distributions for a group invariant experiment with respect to right Haar measure as quasi prior obey a natural requirement) and similar conditions imposed in the same context (to ensure decision theoretically desirable properties of invariant procedures) by Peisakoff, Kudo, Kiefer and Hunt, Stein and Lehmann. A counter confjecture is given and a direct proof of a counter example to the possible vacuity of these conditions is established. Partial insight into the above links is established by further linkage with wide sense Bayes procedures. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1966
- Accession Number
- AD0634769
Entities
People
- Mervyn Stone
Organizations
- University of Wisconsin–Madison