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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Two data sets are used to illustrate the applicationsof Gamma-Half-Cauchy distribution.
📌 3 Key Takeaways
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Objective & Hypothesis:A new distribution, namely, theGamma-Half-Cauchy distribution isGamma-Half-Cauchy distributionproposed.
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Key Findings & Data:Various properties of theare studied in detail such as limiting behavior, moments, mean devi-ations and Shannon entropy.
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Conclusion & Impact:Two data sets are used to illustrate the applicationsof Gamma-Half-Cauchy distribution.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Folded Cauchy distribution · half-Cauchy distribution · gamma dis- tribution
Abstract
A new distribution, namely, theGamma-Half-Cauchy distribution isGamma-Half-Cauchy distributionproposed. Various properties of theare studied in detail such as limiting behavior, moments, mean devi-ations and Shannon entropy. The model parameters are estimated bythe method of maximum likelihood and the observed information ma-trix is obtained. Two data sets are used to illustrate the applicationsof Gamma-Half-Cauchy distribution.
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Cite This Article
Mansoor, M., Zubair, M., Alzaatreh, A., Tahir, M. H., Ghazalik, S. A. (2022). The gamma half-Cauchy distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 4, 1143–1159. https://ajindex.com/articles/530143