Math-Phys-Chem Approaches to Life by Hitomi Kitaojima, Shigeru Kanemitsu

“…We shall give some basics for the Rényi (𝛼)-entropy, Chebyshev polynomials and the notion of free groups inrespective places. …”
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Entanglement content of kink excitations by Luca Capizzi, Michele Mazzoni

“…Second, we provide a field-theoretic framework based on the algebraic relations between the twist fields and the semilocal fields associated with the excitations, and we compute the Rényi entropies in this framework. We obtain universal predictions for the entropy difference between the excited states with a finite number of kinks and the symmetry-broken ground states, which do not depend on the microscopic details of the model in the limit of large regions. …”
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Application to Biomedical Data: Using the Topp Leone Inverse Lindley Model by Maha A. Aldahlan

“…Some basic mathematical properties such as quantile, moments, order statistics, and Rényi entropy of the new distribution are considered. …”
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Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data by Maha A. Aldahlan

“…We derived some mathematical properties including moments, moment-generating function, quantile function, Rényi entropy, and order statistics of the new model. …”
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Synthesis of stochastic algorithms for image registration by the criterion of maximum mutual information by A.G. Tashlinskii, G.L. Safina, R.M. Ibragimov

“…The entropies are calculated using a Parzen window method. …”
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Error mitigation in brainbox quantum autoencoders by Joséphine Pazem, Mohammad H. Ansari

“…Finally, by analysing the Rényi entropy flow throughout the networks, we demonstrate that the localization of entanglement plays a central role in denoising through learning.…”
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Modified Chen distribution: Properties, estimation, and applications in reliability analysis by M. G. M. Ghazal

“…We examined its statistical properties, such as moments, mean time to failure, mean residual life, Rényi entropy, and order statistics. Model parameters, along with survival and hazard functions, were estimated by utilizing maximum likelihood estimators and two types of bootstrap confidence intervals. …”
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New Lindley Generator Based on T-X Family of Distributions: Properties and Reliability Applications by Fatehi Yahya Eissa, Chhaya Dhanraj Sonar

“…Our research involves deriving mathematical expressions for various statistical measures, including moments, the generating function, the quantile function, and Renyi entropy. To estimate the parameters of the new family of distributions, we utilize a range of methods, including maximum likelihood, maximum product spacing, least squares, Cramer-von Mises, and Anderson–Darling estimations. …”
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Entanglement negativity and replica symmetry breaking in general holographic states by Xi Dong, Jonah Kudler-Flam, Pratik Rath

“…Our argument involves an identity relating E 2 k $$ {\mathcal{E}}^{(2k)} $$ to the k-th Rényi entropy on subregion AB ∗ in the doubled state ρ AB A A ∗ BB ∗ $$ {\left.…”
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Diversité et état de conservation de la flore ligneuse des îlots forestiers du massif montagneux de Lubero (R.D. Congo) by Norbert Kambale Ndavaro, Walere Muhindo Sahani, Armand Kuyéma Natta, Apollon D.M.T. Hegbe, Ramdan Dramani, Aliou Dicko

“…Specific diversity indices have been calculated and dendrometric parameters have been determined. Renyi entropy has been calculated to compare the alpha diversity of woody species between the different forest patches. …”
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A Bounded Lifetime Distribution Specified by a Trigonometric Function: Properties, Regression Model, and Applications by Simon A. Ogumeyo, Festus C. Opone, Abdul Ghaniyyu Abubakari, Jacob C. Ehiwario

“…Some statistical properties of the new bounded distribution, including quantile function, ordinary moments, incomplete moments, moment-generating functions, inequality measures, Rényi entropy, and probability weighted moments are derived. …”
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Species specificity and specificity diversity (SSD) framework: a novel method for detecting the unique and enriched species associated with disease by leveraging the microbiome het... by Zhanshan Sam Ma

“…The second element is a new concept to introduce here, the (species) specificity diversity (SD), which is inspired by traditional species (abundance) diversity in community ecology and measures the diversity of specificity (a proxy for metacommunity heterogeneity, essentially) with Renyi’s entropy. The third element is a pair of statistical tests based on the principle of permutation tests. …”
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General Results for the Transmuted Family of Distributions and New Models by Marcelo Bourguignon, Indranil Ghosh, Gauss M. Cordeiro

“…We investigate the asymptotes and shapes and obtain explicit expressions for the ordinary and incomplete moments, quantile and generating functions, mean deviations, Rényi and Shannon entropies, and order statistics and their moments. …”
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The Exponentiated Half-Logistic Family of Distributions: Properties and Applications by Gauss M. Cordeiro, Morad Alizadeh, Edwin M. M. Ortega

“…We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Bonferroni and Lorenz curves, Shannon and Rényi entropies, and order statistics, which hold for any baseline model. …”
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