The existence of maximum likelihood estimates in the Bradley-Terry model and its extensions

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dc.creatorButler, Kenneth
dc.creatorWhelan, John T.
dc.date2004-12-12
dc.date.accessioned2026-07-07T08:06:37Z
dc.date.available2026-07-07T08:06:37Z
dc.descriptionIn the Bradley-Terry model for paired comparisons, and its extensions to include order effects and ties, the maximum likelihood estimates of probabilities of certain outcomes can be 0 or 1 under certain data configurations. This poses problems for standard estimation methods. In this paper, we give algorithms for identifying the outcomes with estimated probability 0 or 1, and indicate how the remaining probabilities may be estimated and summarized.
dc.description27 pages, LaTeX; later version of Dalhousie University Technical Report DALTR-00-1
dc.identifierhttps://arxiv.org/abs/math/0412232
dc.identifierhttp://arxiv.org/abs/math/0412232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130667
dc.subjectStatistics Theory
dc.titleThe existence of maximum likelihood estimates in the Bradley-Terry model and its extensions
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