Solving the Likelihood Equations

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Given a model in algebraic statistics and some data, the likelihood function is a rational function on a projective variety. Algebraic algorithms are presented for computing all critical points of this function, with the aim of identifying the local maxima in the probability simplex. Applications include models specified by rank conditions on matrices and the Jukes-Cantor models of phylogenetics. The maximum likelihood degree of a generic complete intersection is also determined.
20 pages

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Statistics Theory, Algebraic Geometry, Optimization and Control

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http://salesiana.dossiersoluciones.com/handle/123456789/130606

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408270
 http://arxiv.org/abs/math/0408270

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arXiv