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A new power G-family of distributions: Properties, estimation, and applications

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  • Ahmed M Gemeay
  • Waleed Hamoud Alharbi
  • Alaa R El-Alosey

Abstract

This article suggests a new method to expand a family of life distributions by adding a parameter to the family, increasing its flexibility. It is called the extended Modi-G family of distributions. We derived the general statistical properties of the proposed family. Different methods of estimation were presented to estimate the parameters for the proposed family, such as maximum likelihood, ordinary least square, weighted least square, Anderson Darling, right-tailed Anderson-Darling, Cramér-von Mises, and maximum product of spacing methods. A special sub-model with three parameters called extended Modi exponential distribution was derived along with different shapes of its density and hazard functions. Randomly generated data sets and different estimation methods were used to illustrate the behavior of parameters of the proposal sub-model. To illustrate the importance of the proposed family over the other well-known methods, applications to medicine and geology data sets were analyzed.

Suggested Citation

  • Ahmed M Gemeay & Waleed Hamoud Alharbi & Alaa R El-Alosey, 2024. "A new power G-family of distributions: Properties, estimation, and applications," PLOS ONE, Public Library of Science, vol. 19(8), pages 1-33, August.
    • Handle: RePEc:plo:pone00:0308094
    DOI: 10.1371/journal.pone.0308094
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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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