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cs.IT2006
On Measure Theoretic definitions of Generalized Information Measures and Maximum Entropy Prescriptions
Ambedkar Dukkipati, M Narasimha Murty, Shalabh Bhatnagar
Though Shannon entropy of a probability measure , defined as $- \int_{X} \frac{\ud P}{\ud μ} \ln \frac{\ud P}{\udμ} \ud μ$ on a measure space , does not qua…
cs.IT2005
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…