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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 applications of Gamma-Half-Cauchy distribution.
📌 3 Key Takeaways
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Objective & Hypothesis:A new distribution, namely, the Gamma-Half-Cauchy distribution is Gamma-Half-Cauchy distribution proposed.
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Key Findings & Data:Various properties of the are 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 applications of 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, the Gamma-Half-Cauchy distribution is Gamma-Half-Cauchy distribution proposed. Various properties of the are studied in detail such as limiting behavior, moments, mean devi- ations and Shannon entropy. The model parameters are estimated by the method of maximum likelihood and the observed information ma- trix is obtained. Two data sets are used to illustrate the applications of Gamma-Half-Cauchy distribution.
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Cite This Article
Alzaatreh, A., Mansoor, M., Tahir, M., Zubair, M., Ghazali, S. A. (2016). The gamma half-Cauchy distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics, Volume: 45 Issue: 4. https://ajindex.com/articles/1403128