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Weighted Suja distribution with application to ball bearings data

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Abstract

The Suja distribution (SD) is one of the important distributions from lifetime models. The SD is modified in this paper using weighted method to introduce a new distribution called weighted Suja distribution (WSD). Its moments, moment generating function, the coefficient of skewness, coefficient of variation, coefficient of kurtosis, distribution of order statistics, and reliability analysis are presented. The maximum likelihood estimation is used to estimate the WSD parameters with some simulations. Also, the Fisher’s information, the generalized entropy and Rényi entropy, the mode, and the stochastic ordering are derived. The harmonic mean, mean and median deviations, and the stress–strength reliability of the WSD are presented. The Gini index, Bonferroni and Lorenz curves of the WSD are derived. A real data application of 23 ball bearings is presented to demonstrate the performance of the new model.

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Acknowledgements

The authors would like to thank the Editor and the referees for their valuable comments and suggestions which have led to substantial improvement of the paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Al al-Bayt University, Mafraq, 25113, Jordan

    Islam Khaled Alsmairan & Amer Ibrahim Al-Omari

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  1. Islam Khaled Alsmairan
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  2. Amer Ibrahim Al-Omari
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Correspondence to Amer Ibrahim Al-Omari.

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Alsmairan, I.K., Al-Omari, A.I. Weighted Suja distribution with application to ball bearings data. Life Cycle Reliab Saf Eng 9, 195–211 (2020). https://doi.org/10.1007/s41872-019-00106-y

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