Solving the Likelihood Equations

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dc.creatorHosten, Serkan
dc.creatorKhetan, Amit
dc.creatorSturmfels, Bernd
dc.date2004-08-19
dc.date2004-09-27
dc.date.accessioned2026-07-07T08:06:26Z
dc.date.available2026-07-07T08:06:26Z
dc.descriptionGiven 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.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0408270
dc.identifierhttp://arxiv.org/abs/math/0408270
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130606
dc.subjectStatistics Theory
dc.subjectAlgebraic Geometry
dc.subjectOptimization and Control
dc.titleSolving the Likelihood Equations
dc.typetext

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