Group invariant inferred distributions via noncommutative probability

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dc.creatorHeller, B.
dc.creatorWang, M.
dc.date2006-11-22
dc.date.accessioned2026-07-07T08:08:25Z
dc.date.available2026-07-07T08:08:25Z
dc.descriptionOne may consider three types of statistical inference: Bayesian, frequentist, and group invariance-based. The focus here is on the last method. We consider the Poisson and binomial distributions in detail to illustrate a group invariance method for constructing inferred distributions on parameter spaces given observed results. These inferred distributions are obtained without using Bayes' method and in particular without using a joint distribution of random variable and parameter. In the Poisson and binomial cases, the final formulas for inferred distributions coincide with the formulas for Bayes posteriors with uniform priors.
dc.descriptionPublished at http://dx.doi.org/10.1214/074921706000000563 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0611675
dc.identifierhttp://arxiv.org/abs/math/0611675
dc.identifierIMS Lecture Notes--Monograph Series 2006, Vol. 50, 1-19
dc.identifierdoi:10.1214/074921706000000563
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131255
dc.subjectProbability
dc.subjectStatistics Theory
dc.subject62A05, 62F99 (Primary) 62F15, 62A30 (Secondary)
dc.titleGroup invariant inferred distributions via noncommutative probability
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