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Quantile Generated Nadarajah–Haghighi Family of Distributions

Author

Listed:
  • Suleman Nasiru

    (University for Development Studies)

  • Abdul Ghaniyyu Abubakari

    (University for Development Studies)

  • John Abonongo

    (University for Development Studies)

Abstract

The T-NH{Y} family is developed and study in this paper. Various statistical properties such as the mode, quantile, moments and Shannon entropy were derived. Two special distributions namely, exponential-NH{log-logistic}and Gumbel-NH{logistic} were developed. Plots of the failure rate functions for these distributions for some given parameter values indicated that the hazard rate functions can exhibit different types of non-monotonic failure rates. Two applications using real datasets on failure times revealed that the exponential-NH{log-logistic} distribution provides better fits to the datasets than the other fitted models.

Suggested Citation

  • Suleman Nasiru & Abdul Ghaniyyu Abubakari & John Abonongo, 2022. "Quantile Generated Nadarajah–Haghighi Family of Distributions," Annals of Data Science, Springer, vol. 9(6), pages 1161-1180, December.
    • Handle: RePEc:spr:aodasc:v:9:y:2022:i:6:d:10.1007_s40745-020-00271-3
    DOI: 10.1007/s40745-020-00271-3
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    References listed on IDEAS

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    1. Indranil Ghosh & Saralees Nadarajah, 2018. "On Some Further Properties and Application of Weibull-R Family of Distributions," Annals of Data Science, Springer, vol. 5(3), pages 387-399, 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.
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