2013/03/03 by R. C. Venkatesan, Venkatesan, R. C., A. Plastino +1
Mathematics · Physics and Astronomy · #Advanced Statistical Methods and Models #FOS: Computer and information sciences #FOS: Physical sciences #Information Theory (cs.IT) #Statistical Distribution Estimation and Applications #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.1303.0444
openalex publication_date 2013/03/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The necessary conditions (NC) that reconcile canonical probability distributions obtained from the q-maximum entropy principle, subjected to both i) the additive duality of generalized statistics and ii) normal averages expectations with the large deviation theory, are derived. The validity of these necessary conditions is established on the basis of a result concerning large deviation properties of conditional measures. The NC for normal averages expectations are advantageous because they avoid the excessively prohibitive conditions obtained by previous studies when employing other forms for defining q-expectations. Numerical examples for an exemplary case are provided.