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20062021
most citedGeneralized Shannon-Khinchin Axioms and Uniqueness Theorem for Pseudo-additive Entropies

33 citations · 86 across the 22 of their papers we have counts for

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Showing 2013Show all

8 papers · 1 filter

cs.IT2013

Scalar Compandor Design Based on Optimal Compressor Function Approximating by Spline Functions

Zoran H. Peric, Lazar Velimirovic, Miomir Stankovic +2

In this paper the approximation of the optimal compressor function using the first-degree spline functions and quadratic spline functions is done. Coefficients on which we form app…

cs.IT2013

An axiomatic characterization of generalized entropies under analyticity condition

Velimir M. Ilic, Miomir S. Stankovic

We present the characterization of the Nath, Rényi and Havrda-Charvát-Tsallis entropies under the assumption that they are analytic function with respect to the distribution dimens…

math-ph2013★ 33 cited

Generalized Shannon-Khinchin Axioms and Uniqueness Theorem for Pseudo-additive Entropies

Velimir M. Ilic, Miomir S. Stankovic

We consider the Shannon-Khinchin axiomatic systems for the characterization of generalized entropies such as Sharma-Mital and Frank-Daffertshofer entropy. We provide the generaliza…

cs.IT2013★ 11 cited

A unified characterization of generalized information and certainty measures

Velimir M. Ilic, Miomir S. Stankovic

In this paper we consider the axiomatic characterization of information and certainty measures in a unified way. We present the general axiomatic system which captures the common p…

math.CA2013

Power series determined by an experiment on the unit interval

Predrag M. Rajkovic, Sladjana D. Marinkovic, Miomir S. Stankovic

We consider the linear combinations of elements of two sequences: the first one a priory given nonnegative sequence and the second random sequence from the unit interval. We invest…

cs.IT2013

Numerical determination of the optimal value of quantizer's segment threshold using quadratic spline functions

Lazar Velimirovic, Zoran Peric, Miomir Stankovic +1

In this paper, an approximation of the optimal compressor function using the quadratic spline functions has been presented. The coefficients of the quadratic spline functions are d…