Conditions are given for the formal posterior of an improper prior to be coherent and applied to translation models. An example is given of a proper countably additive statistical model and a finitely additive prior for which there is no posterior.
@article{1176347150,
author = {Heath, David and Sudderth, William},
title = {Coherent Inference from Improper Priors and from Finitely Additive Priors},
journal = {Ann. Statist.},
volume = {17},
number = {1},
year = {1989},
pages = { 907-919},
language = {en},
url = {http://dml.mathdoc.fr/item/1176347150}
}
Heath, David; Sudderth, William. Coherent Inference from Improper Priors and from Finitely Additive Priors. Ann. Statist., Tome 17 (1989) no. 1, pp. 907-919. http://gdmltest.u-ga.fr/item/1176347150/