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Statistical mechanics based on Renyi entropy

Physica A: Statistical Mechanics and its Applications, 2000
In this work we show that it is possible to obtain a generalized statistical mechanics (thermostatistics) based on Renyi entropy, to be maximized with adequate constraints. The equilibrium probability distribution thus obtained has a very interesting property. Indeed, it reminds us the statistical distribution proposed by Tsallis, known to conveniently
E.K. Lenzi, R.S. Mendes, L.R. da Silva
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Renyi's entropy for residual lifetime distribution

Statistical Papers, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abraham, B., Sankaran, P. G.
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Textured Renyi Entropy for Image Thresholding

2008 Fifth International Conference on Computer Graphics, Imaging and Visualisation, 2008
This paper introduces Textured Renyi Entropy for image thresholding based on a novel combination mechanism. The Renyi Entropy is extended by modifying its priori, while still preserving overall functionality. An optional priori is introduced to improve accuracy.
Ahmad Adel Abu Shareha   +2 more
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Renyi entropy properties of mixed systems

Communications in Statistics - Theory and Methods, 2016
ABSTRACTThis paper deals with Renyi information properties of mixed systems when lifetimes of components are independent and identically distributed. The provided results are obtained by using the concept of Samaniego’s signature. Stochastic comparisons of Renyi entropy for mixed systems are discussed provided that both systems have the same signature.
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Renyi Entropy of Progressively Censored Data

2015
In this paper, we discuss the calculation of Renyi entropy in a set of consecutive order statistics (OS) and a set of progressively Type-II censored OS . We propose a useful, but indirect, computational approach for computing the Renyi entropy of consecutive order statistics that simplifies the calculations.
Z. A. Abo-Eleneen, B. Almohaimeed
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Image Tresholding Using The Renyi's Entropy

1998
Investigating the Kapur et al. image thresholding method, we found, that taking the sum of the Reny's entropies as a criterion for threshold selection instead of the Shannon's entropies, can result in a better image segmentation in the sense of greater uniformity of the partitioned segments.
Pavešić, Nikola, Ribarić, Slobodan
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Shannon Entropy Versus Renyi Entropy from a Cryptographic Viewpoint

2015
We provide a new inequality that links two important entropy notions: Shannon Entropy $$H_1$$ and collision entropy $$H_2$$ . Our formula gives the worst possible amount of collision entropy in a probability distribution, when its Shannon Entropy is fixed. While in practice it is easier to evaluate Shannon entropy than other entropy notions, it is well
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