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A Novel Test Statistic for Right Censored Validity under a new Chen extension with Applications in Reliability and Medicine

Author

Listed:
  • Mohamed Ibrahim

    (Damietta University)

  • Khaoula Aidi

    (University Badji Mokhtar)

  • M. Masoom Ali

    (Ball State University)

  • Haitham M. Yousof

    (Benha University)

Abstract

A new modified version of the Bagdonavičius and Nikulin goodness-of-fit statistical test is presented and investigated for validity under the exponentiated Rayleigh generalized Chen distribution and the right censor case. Simulations via the algorithm of Barzilai-Borwein is performed for assessing the right censored estimation method. Four right censored data sets are analyzed under the new modified test statistic for checking the distributional validation.

Suggested Citation

  • Mohamed Ibrahim & Khaoula Aidi & M. Masoom Ali & Haitham M. Yousof, 2023. "A Novel Test Statistic for Right Censored Validity under a new Chen extension with Applications in Reliability and Medicine," Annals of Data Science, Springer, vol. 10(5), pages 1285-1299, October.
    • Handle: RePEc:spr:aodasc:v:10:y:2023:i:5:d:10.1007_s40745-022-00416-6
    DOI: 10.1007/s40745-022-00416-6
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    References listed on IDEAS

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    1. Ehab Mohamed Almetwally & Hiba Zeyada Muhammed & El-Sayed A. El-Sherpieny, 2020. "Bivariate Weibull Distribution: Properties and Different Methods of Estimation," Annals of Data Science, Springer, vol. 7(1), pages 163-193, March.
    2. Mahmoud M. Mansour & Mohamed Ibrahim & Khaoula Aidi & Nadeem Shafique Butt & Mir Masoom Ali & Haitham M. Yousof & Mohamed S. Hamed, 2020. "A New Log-Logistic Lifetime Model with Mathematical Properties, Copula, Modified Goodness-of-Fit Test for Validation and Real Data Modeling," Mathematics, MDPI, vol. 8(9), pages 1-20, September.
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    8. Yousof Haitham M. & Masoom Ali M. & Goual Hafida & Ibrahim Mohamed, 2021. "A new reciprocal Rayleigh extension: properties, copulas, different methods of estimation and a modified right-censored test for validation," Statistics in Transition New Series, Statistics Poland, vol. 22(3), pages 99-121, September.
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