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The generalized transmuted-G family of distributions

Author

Listed:
  • Zohdy M. Nofal
  • Ahmed Z. Afify
  • Haitham M. Yousof
  • Gauss M. Cordeiro

Abstract

We introduce a new class of continuous distributions called the generalized transmuted-G family which extends the transmuted-G class. We provide six special models of the new family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, order statistics and probability weighted moments are derived. The estimation of the model parameters is performed by maximum likelihood. The flexibility of the proposed family is illustrated by means of three applications to real data sets.

Suggested Citation

  • Zohdy M. Nofal & Ahmed Z. Afify & Haitham M. Yousof & Gauss M. Cordeiro, 2017. "The generalized transmuted-G family of distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(8), pages 4119-4136, April.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:8:p:4119-4136
    DOI: 10.1080/03610926.2015.1078478
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    Cited by:

    1. Gokarna R. Aryal & Sher B. Chhetri & Hongwei Long & Alfred A. Akinsete, 2019. "On the Beta-G Poisson Family," Annals of Data Science, Springer, vol. 6(3), pages 361-389, September.
    2. Boikanyo Makubate & Fastel Chipepa & Broderick Oluyede & Peter O. Peter, 2021. "The Marshall-Olkin Half Logistic-G Family of Distributions With Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(2), pages 120-120, March.
    3. Ahmed Z. Afify & Ahmed M. Gemeay & Noor Akma Ibrahim, 2020. "The Heavy-Tailed Exponential Distribution: Risk Measures, Estimation, and Application to Actuarial Data," Mathematics, MDPI, vol. 8(8), pages 1-28, August.
    4. Korkmaz Mustafa Ç. & Yousof Haitham M., 2017. "The One-Parameter Odd Lindley Exponential Model: Mathematical Properties and Applications," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 25-35, June.
    5. Haitham M. Yousof & Mustafa Ç. Korkmaz & Subhradev Sen, 2021. "A New Two-Parameter Lifetime Model," Annals of Data Science, Springer, vol. 8(1), pages 91-106, March.
    6. Morad Alizadeh & Ahmed Z. Afify & M. S. Eliwa & Sajid Ali, 2020. "The odd log-logistic Lindley-G family of distributions: properties, Bayesian and non-Bayesian estimation with applications," Computational Statistics, Springer, vol. 35(1), pages 281-308, March.
    7. Suleman Nasiru & Peter N. Mwita & Oscar Ngesa, 2019. "Exponentiated Generalized Power Series Family of Distributions," Annals of Data Science, Springer, vol. 6(3), pages 463-489, September.
    8. Sanaa Al-Marzouki & Farrukh Jamal & Christophe Chesneau & Mohammed Elgarhy, 2019. "Type II Topp Leone Power Lomax Distribution with Applications," Mathematics, MDPI, vol. 8(1), pages 1-26, December.
    9. Shahdie Marganpoor & Vahid Ranjbar & Morad Alizadeh & Kamel Abdollahnezhad, 2020. "Generalised Odd Frechet Family of Distributions: Properties and Applications," Statistics in Transition New Series, Polish Statistical Association, vol. 21(3), pages 109-128, September.
    10. Piotr Sulewski, 2021. "Two component modified Lilliefors test for normality," Equilibrium. Quarterly Journal of Economics and Economic Policy, Institute of Economic Research, vol. 16(2), pages 429-455, June.
    11. Afify Ahmed Z. & Yousof Haitham M. & Alizadeh Morad & Ghosh Indranil & Ray Samik & Ozel Gamze, 2020. "The Marshall–Olkin Transmuted-G Family of Distributions," Stochastics and Quality Control, De Gruyter, vol. 35(2), pages 79-96, December.
    12. Salem A. Alyami & Ibrahim Elbatal & Naif Alotaibi & Ehab M. Almetwally & Mohammed Elgarhy, 2022. "Modeling to Factor Productivity of the United Kingdom Food Chain: Using a New Lifetime-Generated Family of Distributions," Sustainability, MDPI, vol. 14(14), pages 1-28, July.
    13. Marganpoor Shahdie & Ranjbar Vahid & Alizadeh Morad & Abdollahnezhad Kamel, 2020. "Generalised Odd Frechet Family of Distributions: Properties and Applications," Statistics in Transition New Series, Polish Statistical Association, vol. 21(3), pages 109-128, September.
    14. Majdah M. Badr & Ibrahim Elbatal & Farrukh Jamal & Christophe Chesneau & Mohammed Elgarhy, 2020. "The Transmuted Odd Fréchet-G Family of Distributions: Theory and Applications," Mathematics, MDPI, vol. 8(6), pages 1-20, June.
    15. Zubair Ahmad & M. Elgarhy & G. G. Hamedani, 2018. "A new Weibull-X family of distributions: properties, characterizations and applications," Journal of Statistical Distributions and Applications, Springer, vol. 5(1), pages 1-18, December.
    16. Aryal Gokarna R. & Yousof Haitham M., 2017. "The Exponentiated Generalized-G Poisson Family of Distributions," Stochastics and Quality Control, De Gruyter, vol. 32(1), pages 7-23, June.

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