2006/12/29 by Marián Grendár, Grendar, Marian, Robert K. Niven +1
Computer Science · Mathematics · Physics and Astronomy · #Bayesian Methods and Mixture Models #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.cond-mat/0612697
openalex publication_date 2006/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Sanov'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.