The marginalization paradox does not imply inconsistency for improper priors

dc.creatorWallstrom, Timothy C.
dc.date2003-10-01
dc.date2003-10-09
dc.date.accessioned2026-07-07T08:06:10Z
dc.date.available2026-07-07T08:06:10Z
dc.descriptionThe marginalization paradox involves a disagreement between two Bayesians who use two different procedures for calculating a posterior in the presence of an improper prior. We show that the argument used to justify the procedure of one of the Bayesians is inapplicable. There is therefore no reason to expect agreement, no paradox, and no evidence that improper priors are inherently inconsistent. We show further that the procedure in question can be interpreted as the cancellation of infinities in the formal posterior. We suggest that the implicit use of this formal procedure is the source of the observed disagreement.
dc.description5 pages. Minor change to discussion section. Comments welcome
dc.identifierhttps://arxiv.org/abs/math/0310006
dc.identifierhttp://arxiv.org/abs/math/0310006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130515
dc.subjectStatistics Theory
dc.subject62A01
dc.titleThe marginalization paradox does not imply inconsistency for improper priors
dc.typetext

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