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The Topp-Leone Marshall-Olkin-G Family of Distributions With Applications

Author

Listed:
  • Fastel Chipepa
  • Broderick Oluyede
  • Boikanyo Makubate

Abstract

A new generalized distribution is developed, namely, Topp-Leone Marshall-Olkin-G distribution. The new distribution is a linear combination of the exponentiated-G family of distributions. We considered three sub-families of the new proposed family of distribution. The distribution can handle heavy-tailed data and various forms of the hazard rate functions. A simulation study was conducted to evaluate consistency of the model parameters. Three applications are provided to demonstrate the usefulness of the new model in comparison with competing non-nested models.

Suggested Citation

  • Fastel Chipepa & Broderick Oluyede & Boikanyo Makubate, 2020. "The Topp-Leone Marshall-Olkin-G Family of Distributions With Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(4), pages 1-15, July.
    • Handle: RePEc:ibn:ijspjl:v:9:y:2020:i:4:p:15
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    References listed on IDEAS

    as
    1. Mohammad A. Aljarrah & Felix Famoye & Carl Lee, 2019. "A new generalized normal distribution: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(18), pages 4474-4491, September.
    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. Fastel Chipepa & Broderick O. Oluyede & Boikanyo Makubate, 2019. "A New Generalized Family of Odd Lindley-G Distributions With Application," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(6), pages 1-1, November.
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    Cited by:

    1. Broderick Oluyede & Thatayaone Moakofi, 2023. "The Gamma-Topp-Leone-Type II-Exponentiated Half Logistic-G Family of Distributions with Applications," Stats, MDPI, vol. 6(2), pages 1-28, June.

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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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