Journals / Turkish Journal of Science / 2020 / Cilt: 5 - Sayı: 2

A new family of odd generalized Nakagami (Nak-G) distributions

Pages
85–101
Publication Date
2020-10-31
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We prove, by providing three applications to real-life data, that Nakagami Exponential (Nak-E) distribution could give a better fit when compared to its competitors.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we proposed a new family of generalized Nak-G distributions and study some of its statistical properties, such as moments, moment generating function, quantile function, and probability Weighted Moments.
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Key Findings & Data:The Renyi entropy, expression of distribution order statistic, and parameters of the model are estimated by means of maximum likelihood technique.
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Conclusion & Impact:We prove, by providing three applications to real-life data, that Nakagami Exponential (Nak-E) distribution could give a better fit when compared to its competitors.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Nak-G · Nak-E · Maximum Likelihood Estimation

Abstract

In this article, we proposed a new family of generalized Nak-G distributions and study some of its statistical properties, such as moments, moment generating function, quantile function, and probability Weighted Moments. The Renyi entropy, expression of distribution order statistic, and parameters of the model are estimated by means of maximum likelihood technique. We prove, by providing three applications to real-life data, that Nakagami Exponential (Nak-E) distribution could give a better fit when compared to its competitors.

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Cite This Article

ABDULLAHİ, İ., JOB, O. (2020). A new family of odd generalized Nakagami (Nak-G) distributions. Turkish Journal of Science, Cilt: 5 - Sayı: 2, 85–101. https://ajindex.com/articles/809494

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References (1)

  1. Bistoon Hosseini Department of Statistics, Faculty of Sciences Persian Gulf University of Bushehr Bushehr, Iran E-mail: [email protected] Mahmoud Afshari Department of Statistics, Faculty of Sciences Persian Gulf University of Bushehr Bushehr, Iran E-mail: [email protected] Morad Alizadeh Department of Statistics, Faculty of Sciences Persian Gulf University of Bushehr Bushehr, Iran E-mail: [email protected]