A method for evaluating improper prior distributions. (English) Zbl 0581.62005
Statistical decision theory and related topics III, Proc. 3rd Purdue Symp., West Lafayette/Indiana 1981, Vol. 1, 329-352 (1982).
[For the entire collection see Zbl 0575.00019.]
In this paper, we explore a formulation of a decision problem which, among other things, allows the evaluation of improper prior distributions via the posterior distributions they define. This formulation arose from an attempt to decide whether or not some of the classical fiducial distributions were in a decision theoretic sense ”reasonable” (e.g., admissible, minimax) decision rules.
In this paper, we explore a formulation of a decision problem which, among other things, allows the evaluation of improper prior distributions via the posterior distributions they define. This formulation arose from an attempt to decide whether or not some of the classical fiducial distributions were in a decision theoretic sense ”reasonable” (e.g., admissible, minimax) decision rules.
MSC:
| 62C10 | Bayesian problems; characterization of Bayes procedures |
| 62C05 | General considerations in statistical decision theory |
