A New Family of Odd Nakagami Exponential (NE-G) Distributions

Year 2022, Issue: 39, 19 - 41, 30.06.2022

Mathee Pongkitiwitoon İbrahim Abdullahi , Obalowa Job

https://doi.org/10.53570/jnt.1112959

Cited By: 1

Abstract

In this study, a new family of odd nakagami exponential (NE-G) distributions is introduced and investigated as a new generator of continuous distributions. Quantile, hazard rate function, moments, incomplete moments, order statistics, and entropies are only a few of the statistical features that are investigated. A unique model is presented and thoroughly examined. To estimate model parameters based on describing real-life data sets, the maximum likelihood method is applied. The bias and mean square error of maximum likelihood estimators are investigated using a comprehensive simulation exercise. Finally, the new family adaptability is demonstrated via application to real-world data sets.

Keywords

Nakagami Exponential , Order Statistics , Quantile Function , Moments

References

• N. Eugene, C. Lee, F. Famoye, Beta-Normal Distribution and Its Applications, Communications in Statistics-Theory and Methods 31 (4) (2002) 497–512.
• M. A. R. De Pascoa, E. M. M. Ortega, G. M. Cordeiro, The Kumaraswamy Generalized Gamma Distribution with Application in Survival Analysis, Statistical methodology 8 (5) (2011) 411–433.
• G. M. Cordeiro, E. M. M. Ortega, D. C. C. da Cunha, The Exponentiated Generalized Class of Distributions, Journal of Data Science 11 (1) (2013) 1–27.
• H. Torabi, N. H. Montazeri, The Logistic-Uniform Distribution and Its Applications, Communications in Statistics-Simulation and Computation 43 (10) (2014) 2551–2569.
• M. M. Ristić, N. Balakrishnan, The Gamma-Exponentiated Exponential Distribution, Journal of Statistical Computation and Simulation 82 (8) (2012) 1191–1206.
• C. Alexander, G. M. Cordeiro, E. M. M. Ortega, J. M. Sarabia, Generalized Beta-Generated Distributions, Computational Statistics & Data Analysis 56 (6) (2012) 1880–1897.
• M. Amini, S. M. T. K. MirMostafaee, J. Ahmadi, Log-Gamma-Generated Families of Distributions, Statistics 48 (4) (2014) 913–932.
• A. S. Hassan, S. E. Hemeda, A New Family of Additive Weibull-Generated Distributions, rn 55 (2016) 7.
• M. Alizadeh, G. M. Cordeiro, E. De Brito, C. G. B. Dem´etrio, The Beta Marshall-Olkin Family of Distributions, Journal of Statistical Distributions and Applications 2 (1) (2015) 4.
• B. Hosseini, M. Afshari, M. Alizadeh, The Generalized Odd Gamma-G Family of Distributions: Properties and Applications, Austrian Journal of Statistics 47 (2) (2018) 69–89.
• H. Torabi, N. M. Hedesh, The Gamma-Uniform Distribution and Its Applications, Kybernetika 48 (1) (2012) 16–30.
• M. H. Tahir, M. Zubair, M. Mansoor, G. M. Cordeiro, M. Alizadehk, G. G. Hamedani, A New Weibull-G Family of Distributions, Hacettepe Journal of Mathematics and Statistics 45 (2) (2016) 629–647.
• A. Z. Afify, G. Cordeiro, F. Jamal, M. Elgarhy, M. Nasir, The Marshall-Olkin Odd Burr III-G Family of Distributions: Theory, Estimation and Applications.
• Z. Azam, A. Ahmad Saeed, J. Riffat, A New Exponentiated Generalized Power Function Distribution, Advances and Applications in Statistics 61 (1) (2020) 33–63.
• I. Abdullahi, J. Obalowu, The Generalized Odd Nakagami-G Family of Distributions: Properties and Applications, Naturengs 1 (2) (2020) 1–16.
• M. D. Nichols, W. J. Padgett, A Bootstrap Control Chart for Weibull Percentiles, Quality and reliability engineering international 22 (2) (2006) 141–151.
• P. E. Oguntunde, O. S. Balogun, H. I. Okagbue, S. A. Bishop, The Weibull-Exponential Distribution: Its Properties and Applications, Journal of Applied Sciences 15 (11) (2015) 1305–1311.