The Polya Urn: Limit Theorems, Polya Divergence, Maximum Entropy and Maximum Probability

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dc.creatorGrendar, Marian
dc.creatorNiven, Robert K.
dc.date2006-12-29
dc.date.accessioned2026-07-07T07:37:37Z
dc.date.available2026-07-07T07:37:37Z
dc.descriptionSanov's Theorem and the Conditional Limit Theorem (CoLT) are established for a multicolor Polya Eggenberger urn sampling scheme, giving the Polya divergence and the Polya extension to the Maximum Relative Entropy (MaxEnt) method. Polya MaxEnt includes the standard MaxEnt as a special case. The universality of standard MaxEnt - advocated by an axiomatic approach to inference for inverse problems - is challenged, in favor of a probabilistic approach based on CoLT and the Maximum Probability principle.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0612697
dc.identifierhttp://arxiv.org/abs/cond-mat/0612697
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120837
dc.subjectStatistical Mechanics
dc.titleThe Polya Urn: Limit Theorems, Polya Divergence, Maximum Entropy and Maximum Probability
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