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On Step-Stress Partially Accelerated Life Testing with Competing Risks Under Progressive Type-II Censoring

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Abstract

In this article, step-stress partially accelerated life testing (SSPALT) with competing risks is studied when the lifetime of test units follows Nadarajah–Haghighi (NH) distribution. The maximum likelihood estimates (MLEs) and Bayes estimates (BEs) of the model parameters are derived under progressive Type-II censoring. Furthermore, the approximate and credible confidence intervals (CIs) of the parameters are computed. A numerical example has been constructed to illustrate the methods used for the study. Finally, simulation studies are performed to demonstrate the accuracy of the MLEs and BEs for the parameters of Nadarajah–Haghighi distribution and the BEs showed better results than MLEs.

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Data Availability

The data sets generated and analysed in this study are not real-world data; they are simulated data created by us.

Code Availability

The codes in this paper represent a new development on the “Mathematica” program, and we will provide it if requested.

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Acknowledgements

The authors are sincerely grateful to the referees and to the Editor-in-Chief for their many constructive comments and careful reading of the paper.

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Authors and Affiliations

  1. Department of Basic Sciences, Faculty of Engineering, MTI University, Cairo, Egypt

    Sara O. Abd El-Azeem

  2. Department of Mathematics, Faculty of Science, Cairo University, Cairo, Egypt

    Mahmoud H. Abu-Moussa

  3. Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt

    Moustafa M. Mohie El-Din & Lamiaa S. Diab

Authors
  1. Sara O. Abd El-Azeem
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  2. Mahmoud H. Abu-Moussa
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  3. Moustafa M. Mohie El-Din
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  4. Lamiaa S. Diab
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Contributions

Sara O. Abd El-Azeem (writing the original draft preparation, validation, conceptualization), Mahmoud H. Abu-Moussa (review and editing, validation, conceptualization, article administration), Moustafa M. Mohie El-Din (review, conceptualization and validation), Lamiaa S. Diab (review, validation and article administration).

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Correspondence to Mahmoud H. Abu-Moussa.

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El-Azeem, S.O.A., Abu-Moussa, M.H., El-Din, M.M.M. et al. On Step-Stress Partially Accelerated Life Testing with Competing Risks Under Progressive Type-II Censoring. Ann. Data. Sci. (2022). https://doi.org/10.1007/s40745-022-00454-0

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  • DOI: https://doi.org/10.1007/s40745-022-00454-0

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