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

Year 2020, Volume: 5 Issue: 2, 85 - 101, 31.10.2020

İbrahim Abdullahi , Obalowa Job

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.

Keywords

Nak-G,, Nak-E,, Maximum Likelihood Estimation,, Order Statistic

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References

• Bistoon Hosseini Department of Statistics, Faculty of Sciences Persian Gulf University of Bushehr Bushehr, Iran E-mail: [e-mail]
• Mahmoud Afshari Department of Statistics, Faculty of Sciences Persian Gulf University of Bushehr Bushehr, Iran E-mail: [e-mail]
• Morad Alizadeh Department of Statistics, Faculty of Sciences Persian Gulf University of Bushehr Bushehr, Iran E-mail: [e-mail]