Generalized information functions
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The concept of information functions of type β (β > 0) is introduced and by means of these information functions the entropies of typeβ are defined, which have a number of interesting algebraic and analytic properties similar to Shannon's entropy.Abstract:
The concept of information functions of type β ( β > 0) is introduced and discussed. By means of these information functions the entropies of type β are defined. These entropies have a number of interesting algebraic and analytic properties similar to Shannon's entropy. The capacity of type β ( β > 1) of a discrete constant channel is defined by means of the entropy of type β . Examples are given for the computation of the capacity of type β , from which the Shannon's capacity can be derived as the limiting case β = 1.read more
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To the theory of linear response for quantum nonextensive system on dynamic external disturbance
Journal ArticleDOI
A characterization of generalized multinomial coefficients related to the entropic chain rule
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An entropy for groups of intermediate growth
TL;DR: In this paper, the authors present an example of a group as a metric space that may be used as the phase space of a system whose ergodic behavior is statistically described by the recently proposed $\delta$-entropy.
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Characterization of Nonadditive Measures of Average Charge of order \(\alpha\) and their Bounds
Satish Kumar,G. Ram,Vishal Gupta +2 more
TL;DR: In this article, a simple non-additive model based on α-non-additivity is considered and the average charge for heterogeneous questionnaires under this model is characterized.
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Some applications of matrix inequalities in Rényi entropy
TL;DR: This paper uses matrix inequalities to prove new bounds on the entropy of type $\beta$, R{\'e}nyi entropy, and finds lower bound for R'enyi relative entropy.
References
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Book
Transmission of information
Robert M. Fano,W. T. Wintringham +1 more
TL;DR: A warning device associated with arotatable body comprising means on the rotatable body for creating a magnetic field, a receiving coil on a relatively stationary member arranged such that a warning is given upon occurrence of a predetermined condition, such as pressure of a vehicle wheel deviating outside a predetermined limit.