Search Results - subject:"Additive duality"

Two-parameter entropies, Sk,r, and their dualities

Asgarani, Somayeh; Mirza, Behrouz - In: Physica A: Statistical Mechanics and its Applications 417 (2015) C, pp. 185-192

This paper investigates the dualities of two-parameter entropies, Sk,r Kaniadakis et al. (2005). Two kinds of dualities are found, namely inverse (r→−r) and inverse-scaling (r→−rs,k→ks) which recovers the additive (q→2−q) and multiplicative (q→1/q) dualities in the Tsallis limit.

Persistent link: https://www.econbiz.de/10011077846

Scaled Bregman divergences in a Tsallis scenario

Venkatesan, R.C.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 15, pp. 2749-2758

consistency between these two generalized K–Ld forms is derived by recourse to the additive duality of Tsallis statistics. It is … also shown that the usual generalized K–Ld subjected to this additive duality, known as the dual generalized K–Ld, is a …

Persistent link: https://www.econbiz.de/10010589183

Generalized statistics variational perturbation approximation using q-deformed calculus

Venkatesan, R.C.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 6, pp. 1159-1172

A principled framework to generalize variational perturbation approximations (VPAs) formulated within the ambit of the nonadditive statistics of Tsallis statistics, is introduced. This is accomplished by operating on the terms constituting the perturbation expansion of the generalized free...

Persistent link: https://www.econbiz.de/10011062447

Generalized statistics framework for rate distortion theory

Venkatesan, R.C.; Plastino, A. - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 12, pp. 2337-2353

Variational principles for the rate distortion (RD) theory in lossy compression are formulated within the ambit of the generalized nonextensive statistics of Tsallis, for values of the nonextensivity parameter satisfying 0<q<1 and q>1. Alternating minimization numerical schemes to evaluate the nonextensive...</q<1>

Persistent link: https://www.econbiz.de/10010872251

Multiplicative duality, q-triplet and (μ,ν,q)-relation derived from the one-to-one correspondence between the (μ,ν)-multinomial coefficient and Tsallis entropy Sq

Suyari, Hiroki; Wada, Tatsuaki - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 1, pp. 71-83

,ν,q)-relation behind Tsallis statistics by means of the (μ,ν)-multinomial coefficient. Recently the additive duality “q↔2-q” in Tsallis … additive duality and the multiplicative duality are recovered when ν=1 and ν=q, respectively. As other special cases, when ν=2 …

Persistent link: https://www.econbiz.de/10011061810