Journals / Mugla Journal of Science and Technology / 2026 / Volume: 7 Issue: 1

A NEW ALTERNATIVE SELECTION CRITERION FOR FAMILY OF SOME TRANSMUTED DISTRIBUTIONS BASED ON EXPONENTIAL DISTRIBUTION

Caner Tanış(SELÇUK ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0003-0090-1661
Yunus Akdoğan(SELÇUK ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0003-3520-7493
Kadir Karakaya(SELÇUK ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0002-0781-3587
Egemen Özkan(YILDIZ TEKNİK ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ)0000-0003-3218-2868
Pages
—
Publication Date
2021-06-29
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Also, a numerical example is presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Although Akaike information criterion is the most popular selection criterion in the literature, it gives inconsistent results in determining the correct model according to other selection criteria in transmuted distribution families.
📊
Key Findings & Data:A Monte Carlo simulation study is considered to compare the performances of this new criterion with the Akaike information criterion.
💡
Conclusion & Impact:Also, a numerical example is presented.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Akaike information criterion · Modified Akaike information criterion · Monte Carlo simulation

Abstract

Although Akaike information criterion is the most popular selection criterion in the literature, it gives inconsistent results in determining the correct model according to other selection criteria in transmuted distribution families. We motivate a new extension of the Akaike information criterion in the solution of this problem. In this paper, we suggest a new selection criterion as an alternative to the Akaike information criterion for the family of transmuted distribution. We discuss special cases of this family based on exponential distribution. A Monte Carlo simulation study is considered to compare the performances of this new criterion with the Akaike information criterion. Also, a numerical example is presented.

🔖

Cite This Article

Tanış, C., Akdoğan, Y., Karakaya, K., Özkan, E. (2021). A NEW ALTERNATIVE SELECTION CRITERION FOR FAMILY OF SOME TRANSMUTED DISTRIBUTIONS BASED ON EXPONENTIAL DISTRIBUTION. Mugla Journal of Science and Technology, Volume: 7 Issue: 1. https://doi.org/10.22531/muglajsci.816089

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (15)

  1. Karakaya, K., Kınacı, İ., Kuş, C., Akdoğan, Y., “A new family of distributions”, Hacettepe Journal of Mathematics and Statistics. 46(2): 303-314, 2017.
  2. Korkmaz, M.Ç., “A new family of the continuous distributions: the extended Weibull-G family”, Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1): 248-270, 2018.
  3. Korkmaz, M.Ç., Yousof, H.M., Hamedani, G.G. "The exponential Lindley odd log-logistic-G family: Properties, characterizations and applications", Journal of Statistical Theory and Applications. 17(3): 554-571, 2018.
  4. Rahman, M. M., AlZahrani, B., Shahbaz, M.Q., “A general transmuted family of distributions”, Pakistan Journal of Statistics and Operation Research. 451-469, 2018.
  5. Pavlov, N., Iliev, A., Rahnev, A., Kyurkchiev, N., “Some transmuted software reliability models” Journal of Mathematical Sciences and Modelling. 2(1): 64-70, 2018.
  6. Riffi, M.I., “Higher rank transmuted families of distributions”, IUG Journal of Natural Studies. 27(2),2019.
  7. Ahmad, Z., Hamedani, G. G., Butt, N. S., “Recent developments in distribution theory: a brief survey and some new generalized classes of distributions”, Pakistan Journal of Statistics and Operation Research. 87-110, 2019.
  8. Rahman, M.M., Al-Zahrani, B., Shahbaz, S. H., Shahbaz, M.Q., “Transmuted Probability Distributions: A Review” Pakistan Journal of Statistics and Operation Research. 83-94, 2020.
  9. Proschan, F. Theoretical explanation of observed decreasing failure rate.Technometrics5:375–383, 1963.
  10. Dahiya, R. C., Gurland, J. Goodness of fit tests for the gamma and exponential distributions. Technometrics (14), 791–801, 1972.
  11. Gleser, L. J. The gamma distribution as a mixture of exponential distributions. The American Statistician, 43(2), 115–117, 1989.
  12. Kus, C. A new lifetime distribution.Computational Statistics and Data Analysis, 5(1), 4497–4509, 2007.
  13. Habibi, M., Asgharzadeh, A. Power binomial exponential distribution: Modeling, simulation and application. Communications in Statistics-Simulation and Computation, 47(10), 3042-3061, 2018.
  14. Riffi, M.I., “Higher rank transmuted families of distributions”, IUG Journal of Natural Studies. 27(2),2019.
  15. Habibi, M., Asgharzadeh, A. Power binomial exponential distribution: Modeling, simulation and application. Communications in Statistics-Simulation and Computation, 47(10), 3042-3061, 2018.