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Gompertz-modified Burr XII distribution: properties and applications

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Abstract

In this study, a new extension of the Gompertz distribution known as the Gompertz-modified Burr XII distribution is developed and studied. Various statistical properties of the distribution such as the reliability function, the quantile function, moments, order statistics, stochastic ordering, inequality measures, entropies, and stress-strength reliability parameter are derived. The plots of the density and hazard rate functions are obtained. The plots exhibit different kinds of nonmonotonic shapes. The maximum likelihood method of estimation is used to estimate the parameters of the distribution and Monte Carlo simulations are used to assess the consistency of the estimators. The flexibility and usefulness of the distribution are illustrated by fitting it to two different data sets. The results revealed that the distribution adequately fits the data sets.

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Authors and Affiliations

  1. Department of Statistics, Faculty of Mathematical Sciences, C.K. Tedam University of Technology and Applied Sciences, Navrongo, Ghana

    Abdul Ghaniyyu Abubakari, Suleman Nasiru & John Abonongo

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

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Abubakari, A.G., Nasiru, S. & Abonongo, J. Gompertz-modified Burr XII distribution: properties and applications. Life Cycle Reliab Saf Eng 10, 199–215 (2021). https://doi.org/10.1007/s41872-020-00158-5

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  • DOI: https://doi.org/10.1007/s41872-020-00158-5

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