Entropies of deformed binomial distributions
Abstract
Asymptotic behavior (with respect to the number of trials) of symmetric generalizations of binomial distributions and their related entropies are studied through three examples. The first one derives from the qexponential as a generating function. The second one involves the modified Abel polynomials, and the third one involves Hermite polynomials. The former and the latter have extensive BoltzmannGibbs whereas the second one (Abel) has extensive Renyi entropy. A probabilistic model is presented for this exceptional case.
 Publication:

arXiv eprints
 Pub Date:
 December 2014
 arXiv:
 arXiv:1412.0581
 Bibcode:
 2014arXiv1412.0581B
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 28 pages, 2 figures