Structural Distributions Without Exact Transitivity
James V. Bondar · The Annals of Mathematical Statistics · 1972
This is an extension of D.A.S. Fraser's structural inference to statistical problems invariant under a group which is not necessarily exactly transitive on either the sample or parameter spaces. Explicit formulas are given for the extended structural distribution of the parameter given observations, in a class of cases for which a relatively invariant measure exists. The connection with Bayesian inference with invariant priors is discussed.