2006/11/21 by R. C. Venkatesan, Venkatesan, R. C., A. Plastino +1
Computer Science · 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 #cond-mat.stat-mech #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.cond-mat/0611567
31 pages, 2 figures. Minor formatting and typographical changes
openalex publication_date 2006/11/21 · arxiv created 2009/02/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 RD function, are derived. Numerical simulations demonstrate the efficacy of generalized statistics RD models.