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Uniqueness of Nonextensive entropy under Renyi's Recipe
Ambedkar Dukkipati, M. Narasimha Murty, Shalabh Bhatnagar
By replacing linear averaging in Shannon entropy with Kolmogorov-Nagumo average (KN-averages) or quasilinear mean and further imposing the additivity constraint, Rényi proposed the…
Nongeneralizability of Tsallis Entropy by means of Kolmogorov-Nagumo averages under pseudo-additivity
Ambedkar Dukkipati, M. Narsimha Murty, Shalabh Bhatnagar
As additivity is a characteristic property of the classical information measure, Shannon entropy, pseudo-additivity is a characteristic property of Tsallis entropy. Renyi generaliz…
Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization
Ambedkar Dukkipati, M. Narasimha Murty, Shalabh Bhatnagar
Kullback-Leibler relative-entropy has unique properties in cases involving distributions resulting from relative-entropy minimization. Tsallis relative-entropy is a one parameter g…