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Quantile Generated Nadarajah–Haghighi Family of Distributions

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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.

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Authors and Affiliations

  1. Department of Statistics, Faculty of Mathematical Sciences, University for Development Studies, Tamale, Ghana

    Suleman Nasiru, Abdul Ghaniyyu Abubakari & John Abonongo

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  1. Suleman Nasiru
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  2. Abdul Ghaniyyu Abubakari
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  3. John Abonongo
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Correspondence to Suleman Nasiru.

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Nasiru, S., Abubakari, A.G. & Abonongo, J. Quantile Generated Nadarajah–Haghighi Family of Distributions. Ann. Data. Sci. 9, 1161–1180 (2022). https://doi.org/10.1007/s40745-020-00271-3

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  • DOI: https://doi.org/10.1007/s40745-020-00271-3

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