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

Mathee Pongkitiwitoon; İbrahim Abdullahi; Obalowa Job

doi:10.53570/jnt.1112959

EN

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

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.

Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Mathee Pongkitiwitoon This is me
0000-0002-7442-2391
Thailand

İbrahim Abdullahi ^*
0000-0002-7280-3035
Nigeria

Obalowa Job
0000-0001-5232-1509
Nigeria

Publication Date

June 30, 2022

Submission Date

May 7, 2022

Acceptance Date

June 27, 2022

Published in Issue

Year 2022 Number: 39

DOI

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

IZ

https://izlik.org/JA34DL72YE

APA

Pongkitiwitoon, M., Abdullahi, İ., & Job, O. (2022). A New Family of Odd Nakagami Exponential (NE-G) Distributions. Journal of New Theory, 39, 19-41. https://doi.org/10.53570/jnt.1112959

AMA

1.Pongkitiwitoon M, Abdullahi İ, Job O. A New Family of Odd Nakagami Exponential (NE-G) Distributions. JNT. 2022;(39):19-41. doi:10.53570/jnt.1112959

Chicago

Pongkitiwitoon, Mathee, İbrahim Abdullahi, and Obalowa Job. 2022. “A New Family of Odd Nakagami Exponential (NE-G) Distributions”. Journal of New Theory, nos. 39: 19-41. https://doi.org/10.53570/jnt.1112959.

EndNote

Pongkitiwitoon M, Abdullahi İ, Job O (June 1, 2022) A New Family of Odd Nakagami Exponential (NE-G) Distributions. Journal of New Theory 39 19–41.

IEEE

[1]M. Pongkitiwitoon, İ. Abdullahi, and O. Job, “A New Family of Odd Nakagami Exponential (NE-G) Distributions”, JNT, no. 39, pp. 19–41, June 2022, doi: 10.53570/jnt.1112959.

ISNAD

Pongkitiwitoon, Mathee - Abdullahi, İbrahim - Job, Obalowa. “A New Family of Odd Nakagami Exponential (NE-G) Distributions”. Journal of New Theory. 39 (June 1, 2022): 19-41. https://doi.org/10.53570/jnt.1112959.

JAMA

1.Pongkitiwitoon M, Abdullahi İ, Job O. A New Family of Odd Nakagami Exponential (NE-G) Distributions. JNT. 2022;:19–41.

MLA

Pongkitiwitoon, Mathee, et al. “A New Family of Odd Nakagami Exponential (NE-G) Distributions”. Journal of New Theory, no. 39, June 2022, pp. 19-41, doi:10.53570/jnt.1112959.

Vancouver

1.Mathee Pongkitiwitoon, İbrahim Abdullahi, Obalowa Job. A New Family of Odd Nakagami Exponential (NE-G) Distributions. JNT. 2022 Jun. 1;(39):19-41. doi:10.53570/jnt.1112959

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