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. …”
Get full text

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. …”
Get full text

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.…”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text