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Exponentiated Generalized Power Series Family of Distributions

Author

Listed:
  • Suleman Nasiru

    (Pan African University)

  • Peter N. Mwita

    (Machakos University)

  • Oscar Ngesa

    (Taita Taveta University)

Abstract

In this paper, a new family of distributions called the exponentiated generalized power series family is proposed and studied. Statistical properties such as stochastic order, quantile function, entropy, mean residual life and order statistics were derived. Bivariate and multivariate extensions of the family was proposed. The method of maximum likelihood estimation was proposed for the estimation of the parameters. Some special distributions from the family were defined and their applications were demonstrated with real data sets.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:3:d:10.1007_s40745-018-0170-3
    DOI: 10.1007/s40745-018-0170-3
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
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    Cited by:

    1. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    2. Maria T. Vasileva, 2023. "On Topp-Leone-G Power Series: Saturation in the Hausdorff Sense and Applications," Mathematics, MDPI, vol. 11(22), pages 1-11, November.

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