The pigeonhole bootstrap

dc.creatorOwen, Art B.
dc.date2007-12-07
dc.date.accessioned2026-07-07T08:49:28Z
dc.date.available2026-07-07T08:49:28Z
dc.descriptionRecently there has been much interest in data that, in statistical language, may be described as having a large crossed and severely unbalanced random effects structure. Such data sets arise for recommender engines and information retrieval problems. Many large bipartite weighted graphs have this structure too. We would like to assess the stability of algorithms fit to such data. Even for linear statistics, a naive form of bootstrap sampling can be seriously misleading and McCullagh [Bernoulli 6 (2000) 285--301] has shown that no bootstrap method is exact. We show that an alternative bootstrap separately resampling rows and columns of the data matrix satisfies a mean consistency property even in heteroscedastic crossed unbalanced random effects models. This alternative does not require the user to fit a crossed random effects model to the data.
dc.descriptionPublished in at http://dx.doi.org/10.1214/07-AOAS122 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0712.1111
dc.identifierhttp://arxiv.org/abs/0712.1111
dc.identifierAnnals of Applied Statistics 2007, Vol. 1, No. 2, 386-411
dc.identifierdoi:10.1214/07-AOAS122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144308
dc.subjectApplications
dc.titleThe pigeonhole bootstrap
dc.typetext

Files

Collections