Quantile Generated Nadarajah–Haghighi Family of Distributions

Suleman Nasiru (), Abdul Ghaniyyu Abubakari () and John Abonongo ()
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Suleman Nasiru: University for Development Studies
Abdul Ghaniyyu Abubakari: University for Development Studies
John Abonongo: University for Development Studies

Annals of Data Science, 2022, vol. 9, issue 6, No 3, 1180 pages

Abstract: 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.

Keywords: Quantile; Log-logistic; Gumbel; Ordinary least squares; Weighted least squares (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s40745-020-00271-3

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