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Exponentiated Generalized Transformed-Transformer Family of Distributions

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  • Suleman Nasiru
  • Peter N. Mwita
  • Oscar Ngesa

Abstract

Recently, the development of generalized class of distributions has become an issue of interest, to both applied and theoretical statisticians, due to their wider application in different fields of studies. Thus, the current work proposed a new generalized family of distributions called the exponentiated generalized transformed-transformer family. Some members of the new family such as the exponentiated generalized half logistic family was discussed. Statistical measures such as quantile, moment, moment generating function and Shannon entropy for this new class of distributions have been derived.Mathematics Subject Classification: 62E15; 60E05Keywords: Exponentiated generalized T-X ; quantile; moment; moment generating function; Shannon entropy

Suggested Citation

  • Suleman Nasiru & Peter N. Mwita & Oscar Ngesa, 2017. "Exponentiated Generalized Transformed-Transformer Family of Distributions," Journal of Statistical and Econometric Methods, SCIENPRESS Ltd, vol. 6(4), pages 1-1.
    • Handle: RePEc:spt:stecon:v:6:y:2017:i:4:f:6_4_1
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    References listed on IDEAS

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    1. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
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    Cited by:

    1. Lea Anzagra & Solomon Sarpong & Suleman Nasiru, 2022. "Odd Chen-G Family of Distributions," Annals of Data Science, Springer, vol. 9(2), pages 369-391, April.
    2. 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.
    3. Clement Boateng Ampadu & Suleman Nasiru & Girish Babu, 2018. "Further Developments on the T-Transmuted X Family of Distributions II," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 8(2), pages 22-24, September.
    4. Wanting Wang & Zubair Ahmad & Omid Kharazmi & Clement Boateng Ampadu & E H Hafez & Marwa M Mohie El-Din, 2021. "New generalized-X family: Modeling the reliability engineering applications," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-26, March.

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