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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 6

The transmuted Weibull-G family of distributions

G. G. HAMEDANI
Morad ALİZADEH
Haitham M. YOUSOF
Mahdi RASEKHİ
Pages
1671–1689
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We introduce a new family of continuous distributions called the transmuted Weibull-G family of distributions which extends the transmuted class pioneered by Shaw and Buckley (2007).
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Key Findings & Data:We study the mathematical properties of the new family.
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Conclusion & Impact:We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study.
🔬Design:Modeling & Simulation
📍Scope:2007 Verileri
⚙️Variables:transmuted-G family · Weibull-G family · maximum likelihood

Abstract

We introduce a new family of continuous distributions called the transmuted Weibull-G family of distributions which extends the transmuted class pioneered by Shaw and Buckley (2007). We study the mathematical properties of the new family. Some useful characterizations based on the ratio of two truncated moments as well as based on hazard function are presented. We estimate the model parameters by the maximum likelihood method. We assess the performance of the maximum likelihood estimators in terms of biases and mean squared errors by means of a simulation study.

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Cite This Article

HAMEDANI, G. G., ALİZADEH, M., YOUSOF, H. M., RASEKHİ, M. (2022). The transmuted Weibull-G family of distributions. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 6, 1671–1689. https://ajindex.com/articles/529796

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References (14)

  1. Aarset, A.S. How to identify a bathtub hazard rate, IEEE Transactions on Reliability 36, 106-108, 1987.
  2. Afify A.Z., Alizadeh, M., Yousof, H.M., Aryal, G. and Ahmad, M. The transmuted geometric-G family of distributions: theory and applications, Pak. J. Statist. 32 (2), 139-160, 2016a.
  3. Afify A.Z., Cordeiro, G.M., Yousof, H.M., Alzaatreh, A. and Nofal, Z.M. The Kumaraswamy transmuted-G family of distributions: properties and applications, J. Data Sci. 14, 245-270, 2016b.
  4. Afify, A.Z., Yousof, H.M. and Nadarajah, S. The beta transmuted-H family of distributions: properties and applications, Stasistics and its Inference 10 (3), 505-520, 2017.
  5. Alizadeh, M., Cordeiro, G.M., de Brito, E. and Dem\'{e}trio C.G.B. The beta Marshall-Olkin family of distributions, Journal of Statistical Distributions and Applications 2 (4), 18-page, 2015a.
  6. Alizadeh, M., Cordeiro, G.M., Mansoor, M., Zubair, M. and Hamedani, G.G. The Kumaraswamy Marshal-Olkin family of distributions, Journal of the Egyptian Mathematical Society 23, 546-557, 2015c.
  7. Alizadeh, M., Cordeiro, G.M., Nascimento, A.D.C. Lima M.D.S. and Ortega, E.M.M. Odd-Burr generalized family of distributions with some applications, Journal of Statistical Computation and Simulation 83, 326-339, 2016a.
  8. Alizadeh, M., Emadi, M., Doostparast, M., Cordeiro, G.M., Ortega, E.M.M. and Pescim, R.R. Kumaraswamy odd log-logistic family of distributions: Properties and applications, Hacettepe Journal of Mathematics and Statistics 44 (6), 1491-1512, 2015a.
  9. Alizadeh, M., Merovci, F. and Hamedani, G.G. Generalized transmuted family of distributions: properties and applications, Hacettepe Journal of Mathematics and Statistics forthcomig., 2015d.
  10. Alizadeh, M., Yousof, H.M., Afify A.Z., Cordeiro, G.M., and Mansoor, M. The complementary generalized transmuted poisson-G family, Austrian Journal of Statistics 47, 51-71, 2018.
  11. Alkarni, S.H. Extended power Lindley distribution: A new statistical model for nonmonotone survival data, European Journal of Statistics and Probability 3, 19-34, 2015.
  12. Alzaghal, A., Famoye, F. and Lee, C. Exponentiated T-X family of distributions with some applications, International Journal of Probability and Statistics 2, 31-49, 2013.
  13. Alzaatreh, A., Lee, C. and Famoye, F. A new method for generating families of continuous distributions, Metron 71, 63-79, 2013.
  14. Bakouch, H.S., Al-Zahrani, B.M., Al-Shomrani, A.A., Marchi, V.A.A. and Louzada, F. An extended Lindley distribution, Journal of the Korean Statistical Societ