Bayesian sufficient statistics and invariance
Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 15 (1979) no. 4, pp. 303-314. 
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     author = {Flacke, Werner and Therstappen, Norbert},
     title = {Bayesian sufficient statistics and invariance},
     journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques},
     pages = {303--314},
     publisher = {Gauthier-Villars},
     volume = {15},
     number = {4},
     year = {1979},
     mrnumber = {567730},
     zbl = {0432.62005},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPB_1979__15_4_303_0/}
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Flacke, Werner; Therstappen, Norbert. Bayesian sufficient statistics and invariance. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 15 (1979) no. 4, pp. 303-314. http://archive.numdam.org/item/AIHPB_1979__15_4_303_0/

[1] D. Basu, On Sufficiency and Invariance Essays in Probability and Statistics. Chapel Hill, N. C. University of North Carolina Press, 1970, p. 61-84. | MR | Zbl

[2] H. Bauer, Probability Theory and Elements of Measure Theory. New York, Holt, Rinehart and Winston, 1972. | Zbl

[3] N. Bourbaki, Éléments de Mathématique. Intégration Chap. 1-4, Paris, Hermann, 1965. | MR | Zbl

[4] W.J. Hall, R.A. Wijsman, J.K. Ghosh, The Relationship between Sufficiency and Invariance with Applications in Sequential Analysis. Ann. Math. Statist., t. 36, 1965, p. 575-614. | MR | Zbl

[5] H. Raiffa, R. Schlaifer, Applied Statistical Decision Theory, Cambridge, Mass. The M. I. T. Press, 1961. | MR | Zbl

[6] S. Zacks, The Theory of Statistical Inference, New York, J. Wiley, 1971. | MR