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Topp–Leone generated family of distributions: Properties and applications

Author

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  • Sadegh Rezaei
  • Behnam Bahrami Sadr
  • Morad Alizadeh
  • Saralees Nadarajah

Abstract

We introduce a new family of distributions based on a one-parameter distribution exhibiting bathtub-shaped hazard rates. We study the mathematical properties of the family and estimate its parameters by the method of maximum likelihood. Finally, the usefulness of the family is illustrated using a real dataset.

Suggested Citation

  • Sadegh Rezaei & Behnam Bahrami Sadr & Morad Alizadeh & Saralees Nadarajah, 2017. "Topp–Leone generated family of distributions: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(6), pages 2893-2909, March.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:6:p:2893-2909
    DOI: 10.1080/03610926.2015.1053935
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    Cited by:

    1. 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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