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

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In 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.
27 pages, LaTeX; later version of Dalhousie University Technical Report DALTR-00-1

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Statistics Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/130667

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412232
 http://arxiv.org/abs/math/0412232

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arXiv