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

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

Kaynakça

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