Abstract
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.
Citation
James V. Bondar. "Structural Distributions Without Exact Transitivity." Ann. Math. Statist. 43 (1) 326 - 339, February, 1972. https://doi.org/10.1214/aoms/1177692726
Information