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A Novel G Family for Single Acceptance Sampling Plan with Application in Quality and Risk Decisions

Author

Listed:
  • Basma Ahmed

    (Higher Institute for Specific Studies)

  • M. Masoom Ali

    (Ball State University)

  • Haitham M. Yousof

    (Benha University)

Abstract

In this paper we present a new G family of probability distributions. Some of its mathematical properties are derived. Based on a special member of the new family, a single acceptance sampling plan is considered. The issue of a single sample plan when the lifetime test is truncated at a pre-determined period is discussed. For certain different acceptance levels, confidence limits and values ratio of time and the sample size is desired to assure the estimated fixed mean life. The results of lowest ratio of actual mean life to fixed mean life that confirms acceptance with a given probability are presented. A case study is presented for this purpose.

Suggested Citation

  • Basma Ahmed & M. Masoom Ali & Haitham M. Yousof, 2024. "A Novel G Family for Single Acceptance Sampling Plan with Application in Quality and Risk Decisions," Annals of Data Science, Springer, vol. 11(1), pages 181-199, February.
    • Handle: RePEc:spr:aodasc:v:11:y:2024:i:1:d:10.1007_s40745-022-00451-3
    DOI: 10.1007/s40745-022-00451-3
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    References listed on IDEAS

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    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. Faton Merovci & Morad Alizadeh & Haitham M. Yousof & G. G. Hamedani, 2017. "The exponentiated transmuted-G family of distributions: Theory and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(21), pages 10800-10822, November.
    3. 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.
    4. Mahdi Rasekhi & Mohammad Mehdi Saber & Haitham M. Yousof, 2020. "Bayesian and classical inference of reliability in multicomponent stress-strength under the generalized logistic model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(21), pages 5114-5125, September.
    5. 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.
    6. Muhammad Aslam & Debasis Kundu & Munir Ahmad, 2010. "Time truncated acceptance sampling plans for generalized exponential distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(4), pages 555-566.
    7. 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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