%0 Journal Article %1 dawid1973 %A Dawid, A. P. %A Stone, M. %A Zidek, J. V. %D 1973 %J Journal of the Royal Statistical Society. Series B (Methodological) %K Marginalizationparadox %N 2 %P 189--233 %T Marginalization Paradoxes in Bayesian and Structural Inference %U http://www.jstor.org/stable/2984907 %V 35 %X We describe a range of routine statistical problems in which marginal posterior distributions derived from improper prior measures are found to have an unBayesian property--one that could not occur if proper prior measures were employed. This paradoxical possibility is shown to have several facets that can be successfully analysed in the framework of a general group structure. The results cast a shadow on the uncritical use of improper prior measures. A separate examination of a particular application of Fraser's structural theory shows that it is intrinsically paradoxical under marginalization.

@article{dawid1973, abstract = {We describe a range of routine statistical problems in which marginal posterior distributions derived from improper prior measures are found to have an unBayesian property--one that could not occur if proper prior measures were employed. This paradoxical possibility is shown to have several facets that can be successfully analysed in the framework of a general group structure. The results cast a shadow on the uncritical use of improper prior measures. A separate examination of a particular application of Fraser's structural theory shows that it is intrinsically paradoxical under marginalization.}, added-at = {2010-03-25T16:34:33.000+0100}, author = {Dawid, A. P. and Stone, M. and Zidek, J. V.}, biburl = {https://www.bibsonomy.org/bibtex/269d6e704d5940b4cfadd490cfa027864/3mta3}, file = {dawid1973.pdf:Papers/dawid1973.pdf:PDF}, interhash = {571fcda065191c1dec63bfa255f878d5}, intrahash = {69d6e704d5940b4cfadd490cfa027864}, journal = {Journal of the Royal Statistical Society. Series B (Methodological)}, keywords = {Marginalizationparadox}, number = 2, pages = {189--233}, timestamp = {2010-03-25T16:34:33.000+0100}, title = {{Marginalization Paradoxes in Bayesian and Structural Inference}}, url = {http://www.jstor.org/stable/2984907}, volume = 35, year = 1973 }