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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

    as
    1. 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.
    2. Haitham M. Yousof & Mustafa Ç. Korkmaz & Subhradev Sen, 2021. "A New Two-Parameter Lifetime Model," Annals of Data Science, Springer, vol. 8(1), pages 91-106, March.
    3. Yogendra P. Chaubey & Rui Zhang, 2015. "An Extension of Chen’s Family of Survival Distributions with Bathtub Shape or Increasing Hazard Rate Function," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(19), pages 4049-4064, October.
    4. 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, Polish Statistical Association, vol. 22(3), pages 99-121, September.
    5. Haitham M. Yousof & M. Masoom Ali & Hafida Goual & Mohamed Ibrahim, 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, Polish Statistical Association, vol. 22(3), pages 99-121, September.
    6. 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.
    7. Varadhan, Ravi & Gilbert, Paul, 2009. "BB: An R Package for Solving a Large System of Nonlinear Equations and for Optimizing a High-Dimensional Nonlinear Objective Function," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 32(i04).
    8. Abdul Majeed, 2019. "Improving Time Complexity and Accuracy of the Machine Learning Algorithms Through Selection of Highly Weighted Top k Features from Complex Datasets," Annals of Data Science, Springer, vol. 6(4), pages 599-621, December.
    9. Chen, Zhenmin, 2000. "A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function," Statistics & Probability Letters, Elsevier, vol. 49(2), pages 155-161, August.
    10. James M. Tien, 2017. "Internet of Things, Real-Time Decision Making, and Artificial Intelligence," Annals of Data Science, Springer, vol. 4(2), pages 149-178, June.
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