Accession Number : AD0634769

Title :   ON STATISTICALLY INSPIRED CONDITIONS FOR THE GROUP STRUCTURE OF INVARIANT EXPERIMENTS.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF STATISTICS

Personal Author(s) : Stone, Mervyn

Report Date : APR 1966

Pagination or Media Count : 24

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)

Descriptors :   (*EXPERIMENTAL DESIGN, *GROUPS(MATHEMATICS)), MEASURE THEORY, INVARIANCE, DECISION THEORY, STATISTICAL DISTRIBUTIONS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE